       Re: Combine sqrts in denominator

• To: mathgroup at smc.vnet.net
• Subject: [mg122419] Re: Combine sqrts in denominator
• From: DrMajorBob <btreat1 at austin.rr.com>
• Date: Fri, 28 Oct 2011 05:33:44 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201110271032.GAA08881@smc.vnet.net>

```FullSimplify[
1/Sqrt[-h + Sqrt[h^2 + r^2]]*1/Sqrt[h + Sqrt[h^2 + r^2]], {r > 0,
h \[Element] Reals}]

1/r

Bobby

On Thu, 27 Oct 2011 05:32:01 -0500, Tom D <tomdickens at att.net> wrote:

> 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
>

--
DrMajorBob at yahoo.com

```

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