How to simplify expressions

[AlexHaifa]

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]

[Aaron Meurer]

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

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[AlexHaifa]

Thanks a lot!

I have a qouple of questions related to integration of function sqrt(x**2+y**2) by Sympy.

I am going to ask them on a separate post.

Alex