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