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Re: Radicals simplify

  • To: mathgroup at
  • Subject: [mg106378] Re: [mg106361] Radicals simplify
  • From: Andrzej Kozlowski <akoz at>
  • Date: Mon, 11 Jan 2010 05:29:03 -0500 (EST)
  • References: <>

On 10 Jan 2010, at 17:30, francix wrote:

> Hi,
> I am using Matematica 7 and need some help with Radicals.
> If I do
> Simplify[(x^4 y^3)^(1/4), x >= 0] I correctly have
> x (y^3)^(1/4)
> But If I do
> Simplify[(x^6 y^3)^(1/4), x >= 0] I get
> (x^6 y^3)^(1/4) and not the correct answer  x(x^2 y^3)^(1/4)
> Thanks in advanced.

The problem is that your desired formula has a higher ComplexityFunction 
than the one returned by Mathematica. Mathematica's default 
ComplexityFunction is close to LeafCount and






The quickest way to get the answer close to the one you want in this 
case is:

Refine[(x^6*y^3)^(1/4), x >= 0]


To get exactly the answer you want you will need to play with 
ComplexityFunction, which in this case will be tricky.

Andrzej Kozlowski

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