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MathGroup Archive 2005

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Re: sqrt(x^2) = x

  • To: mathgroup at smc.vnet.net
  • Subject: [mg61201] Re: sqrt(x^2) = x
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Wed, 12 Oct 2005 01:43:16 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 10/11/05 at 3:22 AM, pacoga at ctv.es (Francisco Javier) wrote:

>How can I tell Mathematica that I want to simplify all expressions
>like Sqrt[x^2] as x, whithout taking into account that x is or not
>a positive real number?

PowerExpand will do what you want, i.e.,

In[20]:= PowerExpand[Sqrt[x^2]]
Out[20]= x

This tranformation is not included amoung the tranformations applied by Simplify or FullSimplify since it is not valid for all possible values of x.
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