" (3) "sqrt(((sqrt(12)-sqrt(8))(sqrt(3)+sqrt(2)))/(5+sqrt(24)))

The value of sqrt(( sqrt(12) -sqrt(8))(sqrt(3)+sqrt(2))/(5+sqrt(24)) is

sqrt(5sqrt(2)-2sqrt(12))=

(3)/(sqrt(8)-sqrt(2)+sqrt(5))

sqrt(12sqrt(5)+2sqrt(55))=

(sqrt(12)+sqrt(5)+sqrt(3))/(sqrt(12)-sqrt(5)-sqrt(3))+(sqrt(20)+sqrt(5)+sqrt(3))/(sqrt(20)-sqrt(5)-sqrt(3))