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Re: Why can't Mathematica tell when something is algebraically zero?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg108146] Re: Why can't Mathematica tell when something is algebraically zero?
  • From: "Nasser M. Abbasi" <nma at 12000.org>
  • Date: Tue, 9 Mar 2010 06:23:02 -0500 (EST)
  • References: <hn2ltj$3kt$1@smc.vnet.net>

"mmdanziger" <mmdanziger at gmail.com> wrote in message 
news:hn2ltj$3kt$1 at smc.vnet.net...
> This isn't the first time that I've encountered something like this in
> Mathematica but in my calculations I got a term like this:
>
> r^2 Sqrt[(r^3 + r + 2)/r] - Sqrt[r^3 (r^3 + r + 2)]
>
> Which is obviously identically zero.  For some reason Simplify or even
> FullSimplify can't figure this out.

hi;

try this:

In[5]:= f=r^2 Sqrt[(r^3+r+2)/r]-Sqrt[r^3 (r^3+r+2)];

Assuming[r>0,Simplify[f]]

Out[6]= 0


--Nasser




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