sqrt(3-sqrt(5))*(3+sqrt(5))*(sqrt(10)+sqrt(2))
You can write your expression as:
(sqrt(10)+sqrt(2))^2. Expand:
(sqrt(10) + sqrt(2))^2 = 2 + 2 sqrt(5) + 2 sqrt(5) + 10 = 12 + 4 sqrt(5): 4 sqrt(5) + 12
Factor 4 out of 12 + 4 sqrt(5) giving 4 (sqrt(5) + 3):
4 (sqrt(5) + 3)
