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Re: Combine sqrts in denominator

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  • Subject: [mg122437] Re: Combine sqrts in denominator
  • From: "David Park" <djmpark at>
  • Date: Fri, 28 Oct 2011 05:37:00 -0400 (EDT)
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  • References: <15715639.102984.1319708960115.JavaMail.root@m06>

expr = 1/Sqrt[-h + Sqrt[h^2 + r^2]]*1/Sqrt[h + Sqrt[h^2 + r^2]]; 

Simplify[expr, h > 0 && r > 0] 


Simplify[expr, h \[Element] Reals && r > 0] 

Simplify[expr, {h, r} \[Element] Reals] 

David Park
djmpark at  

From: Tom D [mailto:tomdickens at] 

I'm doing a calculation that results in terms of the form

1/ Sqrt[ -h + Sqrt[h^2 + r^2]] * 1/Sqrt[h + Sqrt[h^2 + r^2]] * (other

One sees that this simplifies to (other functions)/r.

It would helpful to make Mathematica perform this simplification, but
I have not been able to get Simplify[] or FullSimplify[] or anything
else to do it.

How would I be able to do this?


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