the question is:

Express:   a^2(2a^(-1/2) + a)

If I multiply out the brackets I get:

2a^(3/2) + a^3

A clearer picturer of it can be seen here:

http://i9.tinypic.com/448sfnr.gif

Can it be simplified more? if so how?

TIA
Doug

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

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We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

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We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.

dougsdir24@yahoo.com a écrit :
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
depends on what you want to do with it, but you have it on its 
polynomial form which is the simpliest
oussama

dougsdir24@yahoo.com wrote:
> 
> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?

Does "simplify" have an objective meaning?

-- 
Remove "antispam" and ".invalid" for e-mail address.
We have lingered in the chambers of the sea
By sea-girls wreathed with seaweed red and brown
Till human voices wake us, and we drown.

On 13 Mar, 11:07, dougsdi...@yahoo.com wrote:
> the question is:
>
> Express:   a^2(2a^(-1/2) + a)
>
> If I multiply out the brackets I get:
>
> 2a^(3/2) + a^3
>
> A clearer picturer of it can be seen here:
>
> http://i9.tinypic.com/448sfnr.gif
>
> Can it be simplified more? if so how?

You aren't really simplifying it, just rearranging things a bit.
Personally I'd go for

a^(9/4) 2^(1/2) [2^(1/2) a^(-3/4) + 2^(-1/2) a^(3/4)]

for a bit of elegant (and simple) symmetry. Note: it's late, so if it
doesn't quite work out, sorry, But you see what I mean!

Ian

dougsdir24@yahoo.com wrote:

> the question is:
> 
> Express:   a^2(2a^(-1/2) + a)
> 
> If I multiply out the brackets I get:
> 
> 2a^(3/2) + a^3
> 
> A clearer picturer of it can be seen here:
> 
> http://i9.tinypic.com/448sfnr.gif
> 
> Can it be simplified more? if so how?
> 
> TIA
> Doug
> 

It depends on what you intend.  You can certainly focus on some aspects 
of the expression by looking at a change of variable.  Perhaps a^3 -> t 
  or a^(1/2)->s.