√(9/4-√5) = √[(1 - √5/2)^2] = √5/2 - 1
√[5/2+√(9/4-√5)] = √[5/2 + √5/2 - 1]
= √[(3 + √5)/2]
= (1/2)√(6 + 2√5)
= (1/2)√[(1 + √5)^2]
= (1 + √5)/2