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Re: Simplfying inside Sqrt

  • To: mathgroup at
  • Subject: [mg55122] Re: Simplfying inside Sqrt
  • From: Peter Pein <petsie at>
  • Date: Sun, 13 Mar 2005 04:57:40 -0500 (EST)
  • References: <d0u7bj$kph$>
  • Sender: owner-wri-mathgroup at

billkavanagh at wrote:

> 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
There /has/ to be something more simple than

Simplify[#1, x >= 0] &  /@
  (Sqrt[x^2 + x^4] /. (a_)^(b_) :> (#1^b & ) /@ Factor[a])

but I don't see it at the moment.

Peter Pein

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