Rationalise `(7sqrt5+sqrt5)/sqrt2`

(i) Rationalise (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))

Rationalise (1+sqrt(2))/(2-sqrt(2))

Rationalise (2)/(sqrt(3)+sqrt(5))

(i) Rationalise (1)/(sqrt(5)-sqrt(4))

Rationalise (1)/(sqrt(7)-2)

rationalise (4)/(2+sqrt(3)+sqrt(7))

Rationalise the denominator (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

(sqrt7-sqrt5)/(sqrt7+sqrt5)

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