Simplify: `(2sqrt(3)+sqrt(5))(2sqrt(3)-sqrt(5))`

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

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

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

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))

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

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

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

Simplify: 2/(sqrt(5)+\ sqrt(3))+1/(sqrt(3)+\ sqrt(2))-3/(sqrt(5)+\ sqrt(2))

Rationalise the denominator and simplify: (i) (4sqrt(3)+5sqrt(2))/(sqrt(48)+\ sqrt(18)) (ii) (2sqrt(3)-\ sqrt(5))/(2\ sqrt(2)+\ 3sqrt(3))

Simplify each of the following by rationalising the denominator: (7+3sqrt(5))/(7-3sqrt(5)) (ii) (2\ sqrt(3)-\ sqrt(5))/(2sqrt(2)+\ 3sqrt(3))