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Combine sqrts in denominator

• To: mathgroup at smc.vnet.net
• Subject: [mg122397] Combine sqrts in denominator
• From: Tom D <tomdickens at att.net>
• Date: Thu, 27 Oct 2011 06:32:01 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

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
functions)

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?

Thanks,
Tom

• Follow-Ups:
  • Re: Combine sqrts in denominator
    • From: Murray Eisenberg <murray@math.umass.edu>
  • Re: Combine sqrts in denominator
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
  • Re: Combine sqrts in denominator
    • From: DrMajorBob <btreat1@austin.rr.com>