Simplify `(6sqrt7+sqrt2)/(sqrt7-sqrt2)`

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

Simplify: (sqrt5-sqrt2)(sqrt2-sqrt3)

Simplify (sqrt(7)+sqrt(2))(sqrt(7)-sqrt(2))

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

Simplify (sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))+sqrt(35)

Simplify (2/7-5/sqrt7)/(sqrt7-1/sqrt7)

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))( ii) (5+2sqrt(3))/(7+4sqrt(3))

Simplify (3+sqrt5)/(sqrt7-sqrt3)

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))

Simplify (1)/(sqrt(7)+sqrt(3)-sqrt(2))