def test_sqrtdenest():
d = {sqrt(5 + 2 * r6): r2 + r3,
sqrt(5. + 2 * r6): sqrt(5. + 2 * r6),
sqrt(5. + 4*sqrt(5 + 2 * r6)): sqrt(5.0 + 4*r2 + 4*r3),
sqrt(r2): sqrt(r2),
sqrt(5 + r7): sqrt(5 + r7),
sqrt(3 + sqrt(5 + 2*r7)):
3*r2*(5 + 2*r7)**(S(1)/4)/(2*sqrt(6 + 3*r7)) +
r2*sqrt(6 + 3*r7)/(2*(5 + 2*r7)**(S(1)/4)),
sqrt(3 + 2*r3): 3**(S(3)/4)*(r6/2 + 3*r2/2)/3}
for i in d:
assert sqrtdenest(i) == d[i]
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