Rationalise the denominator:
(a) `(1)/(root(3)(3) + root(3)(2))`, (b) `(2)/(sqrt5 + sqrt3 + sqrt2)`, (c) `(x^(2))/(sqrt(x^(2) + y^(2)) - y)`,
(d) `(1)/(sqrt6 + sqrt5 - sqrt11)` (e) `(sqrt(x + 2y) - sqrt(x -2y))/(sqrt(x + 2y) + sqrt(x - 2y))`, (f) `(sqrt10 + sqrt5 - sqrt3)/(sqrt10 - sqrt5 + sqrt3)`

Explanation

(a) `(root(3)(9)- root(3)(6) + root(3)(4))/(5)`, (b) `(2 sqrt3 + 3 sqrt2 - sqrt30)/(6)`, (c) `sqrt(x^(2) + y^(2)) + y`,
(d) `(6 sqrt5 + 5 sqrt6 + sqrt(330))/(60)`, (e) `(x - sqrt(x^(2) - 4y^(2)))/(2y)`, (f) `(1)/(7) (3 sqrt30 + 5 sqrt15 - 10sqrt2 - 12)`