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Re: Combine sqrts in denominator

• To: mathgroup at smc.vnet.net
• Subject: [mg122427] Re: Combine sqrts in denominator
• From: "Dr. Wolfgang Hintze" <weh at snafu.de>
• Date: Fri, 28 Oct 2011 05:35:10 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <j8bcf3$8s3$1@smc.vnet.net>

In[259]:=
Simplify[(1/Sqrt[-h + Sqrt[h^2 + r^2]])*
(1/Sqrt[h + Sqrt[h^2 + r^2]]), h \[Element] Reals]
Out[259]=
1

--- Wolfgang


"Tom D" <tomdickens at att.net> schrieb im Newsbeitrag 
news:j8bcf3$8s3$1 at smc.vnet.net...
> 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
>