Simplify `1/(sqrt3+sqrt2)+1/(sqrt5+sqrt2)`

Simplify (sqrt5+sqrt2)^2

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

Simplify (sqrt3+sqrt2)/(sqrt3+sqrt6)

Simplify (sqrt5 - sqrt3)(sqrt5 + sqrt 3)

Simplify (sqrt3+sqrt2)^6+(sqrt3-sqrt2)^6

Simplify (3sqrt5-5sqrt2)(4sqrt5+3sqrt2)

Simplify ((sqrt3+sqrt5)(sqrt5+sqrt2))/(sqrt2+sqrt3+sqrt5)

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

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

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))