Rationalise `(sqrt7+sqrt3)/(sqrt7-sqrt3)`

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(sqrt7-sqrt3)^2

sqrt(3)(sqrt(7)-sqrt(3))

7/(sqrt5-sqrt3) =

sqrt(7+4sqrt3) - sqrt(7-4sqrt3) =

(sqrt(5)+sqrt(3))(sqrt(7)-sqrt(3))

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

(2sqrt(7))/(sqrt(5)-sqrt(3))

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

Rationalise (1)/(sqrt(3)+sqrt(2))

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