Simplify `(5+sqrt7)(2+sqrt5)`

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

Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

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

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

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

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

Rationlise the denominator and simplify: (sqrt5+sqrt3)/(sqrt5-sqrt3)

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(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))

Simplify the following expressions: (i) (3+sqrt(3))\ (2+sqrt(2)) (ii) (5+\ sqrt(7))\ (2+sqrt(5))