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MathGroup Archive 2005

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Re: Simplfying inside Sqrt

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55126] Re: Simplfying inside Sqrt
  • From: "Carl K. Woll" <carlw at u.washington.edu>
  • Date: Sun, 13 Mar 2005 04:57:44 -0500 (EST)
  • Organization: University of Washington
  • References: <d0u7bj$kph$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Bill,

Have you tried applying rules? Something like:

Sqrt[x^2+x^4]/.Sqrt[a_]:>PowerExpand[Sqrt[Factor[a]]]

            2
x Sqrt[1 + x ]

Carl Woll

<billkavanagh at gmail.com> wrote in message news:d0u7bj$kph$1 at smc.vnet.net...
> Hi
>
> I'm wondering how to tell mathematica that I want terms like
> Sqrt[x^2+x^4] to be x*Sqrt[1+x^2].   I have an expression with a few
> terms like this in it so manually inserting a
> PowerExpand[Sqrt[Expand[x^2+x^4]] is no good to me.
>
> I've tried a general PowerExpand and Simplify with a Im[x]==0 around
> the whole expression but with no luck.
>
> Does anybody know how to do this?
>
> Thanks,
> Bill
>
> --
> William R. Kavanagh
> http://www.physics.mun.ca/~wkavanag
> 



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