Hello,
How do I expand products of square roots like this?
import sympy as sp
A1,A1 = sp.symbols('A1,A2', real=True, constant=True)
coef1 = sp.sqrt(1/(A1**2 + A2**2 + sp.sqrt(A1**4 - A1**2*A2**2 + A2**4)))
coef2 = sp.sqrt(1/(A1**2 + A2**2 - sp.sqrt(A1**4 - A1**2*A2**2 + A2**4)))
The issue is that sqrt(x)*sqrt(y) does not equal sqrt(x*y), unless x
and y are positive (see
http://docs.sympy.org/tutorial/tutorial/simplification.html#powers).
Unfortunately, your assumptions that A1 and A2 are real is not enough
for SymPy to deduce that the things under the square root are
