You can use radsimp() (short for "radical simplify") to simplify the
expression. For whatever reason, simplify() isn't calling it
automatically.

>>> radsimp((x+sqrt(x**2+y**2))/(x**2+y**2+x*sqrt(x**2+y**2)))
1/sqrt(x**2 + y**2)

Aaron Meurer

On Mon, Jun 5, 2017 at 4:01 PM, AlexHaifa <[email protected]> wrote:
> Hi gays,
> I am an expirence user of Mathematica (Wolfram) and newbie of Sympy.  I have
> an expression which Mathematica (and even me alone) can easily simplify. I
> do not know how can I doit using Sympy functions. The expression is as
> follows:
>
> (x+sqrt(x**2+y**2))/(x**2+y**2+x*sqrt(x**2+y**2)).
>
> Since the denominator can be rewritten as
>
> (x+sqrt(x**2+y**2))*sqrt(x**2+y**2)
>
> the expression reduces to
> 1/sqrt(x**2+y**2).
> Thank you in advance,
> Alex]
>
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