Simplify: `(sqrt3/2)^2 -(sqrt3)^2+(sqrt 2)^2 +1/2`

Simplify: (sqrt(-2))/(sqrt(-8))

Simplify (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) e

Simplify : sqrt(3+2sqrt(2))

Simplify: (2sqrt(3)-sqrt(2))/(2sqrt(3)+sqrt(2))

Simplify: (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+\ 2)/(sqrt(5)-\ 2)

Simplify: sqrt(3-2sqrt(2))

Simplify: (2sqrt(2)+sqrt(3))/(2sqrt(2)-sqrt(3))

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))

Simplify : (sqrt(2))/(sqrt(6)-sqrt(2))- (sqrt(3))/(sqrt(6)+sqrt(2))

Simplify : (7)/(sqrt(17) - 2sqrt3)-( 3)/(sqrt(17) +2sqrt3)