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Re: Grouping terms under the radical

• To: mathgroup at smc.vnet.net
• Subject: [mg120079] Re: Grouping terms under the radical
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Fri, 8 Jul 2011 04:49:56 -0400 (EDT)
• Reply-to: hanlonr at cox.net

expr = Sqrt[2*n]

Sqrt[2]*Sqrt[n]

expr /. Sqrt[x_] Sqrt[y_] -> HoldForm[Sqrt[x*y]]

HoldForm[Sqrt[2*n]]

% // ReleaseHold

Sqrt[2]*Sqrt[n]


Bob Hanlon

---- paulvonhippel at yahoo <paulvonhippel at yahoo.com> wrote: 

=============
This must be a classic question. When I input
 Sqrt[(2 n)]
Mathematica displays the output as Sqrt[2] Sqrt[n] -- i.e., both 2 and
n are under their own radical. The display of output doesn't change if
I impose the assumption that n > 0.

This is fine from a mathematical point of view, but it looks
unconventional when pasted into a paper. It seems to me most authors
would keep the 2 and the n under a common radical -- how can I get
Mathematica to do the same?

Thanks!