Comment #3 on issue 2716 by [email protected]: solve cannot handle systems involving roots and constants
http://code.google.com/p/sympy/issues/detail?id=2716

With unrad added, it now handles more. Here is the commit message:

    unrad added to _tsolve

Although it would be better if polys would identify radical generators a not reject such systems as multivariate polynomials, systems of equation that fail polification will get to the fallback which will use _tsolve
        (and hence unrad) so they will now work.

        unrad allows such equations to be solved:
        >>> solve(sqrt(x) - sqrt(x + 1) + sqrt(1 - sqrt(x)))
        [0, 9/16]

        >>> Poly(sqrt(x) - sqrt(x + 1) + sqrt(1 - sqrt(x)))
        Poly(sqrt(-sqrt(x) + 1) - sqrt(x + 1) + sqrt(x), \
        sqrt(-sqrt(x) + 1), sqrt(x + 1), sqrt(x), domain='ZZ')
        >>> roots(_)
        Traceback (most recent call last):
          File "<stdin>", line 1, in <module>
          File "sympy\polys\polyroots.py", line 517, in roots
raise PolynomialError('multivariate polynomials are not supported') sympy.polys.polyerrors.PolynomialError: multivariate polynomials, etc.

Perhaps unrad should live in simplify.py, though? I'm tempted to call
it rootdenest, but it's not really denesting, it's re-writing an
expression to a form that shares characteristics with the original but
is not the same as the original.

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