Simplify:
`(sqrt{5})^{-3}(sqrt{2})^{-3}`

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

Simplify: (3+sqrt 3)(3-sqrt3)

Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

Simplify (5+sqrt(7))(5+sqrt(2))

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

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

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

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

Simplify: (i)\ ((sqrt(2))/5)^8\ -:((sqrt(2))/5)^(13)