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

Evaluate : (sqrt(7)+sqrt(5))/(sqrt(7)+sqrt(20)+sqrt(28)-sqrt(5)-sqrt(80))

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

Show that: 1/(3-sqrt(8))-1/(sqrt(8)-sqrt(7))+1/(sqrt(7)-sqrt(6))-1/(sqrt(6)-sqrt(5))+1/(sqrt(5)-2)=5

Simplify each of the following by rationalising the denominator: (sqrt7-sqrt5)/(sqrt7+sqrt5)

Simplify each of the following by rationalising the denominator: (sqrt7-sqrt5)/(sqrt7+sqrt5)

Simplify each of the following by rationalising the denominator: (sqrt7-sqrt5)/(sqrt7+sqrt5)

Simplify each of the following by rationalising the denominator: (sqrt7-sqrt5)/(sqrt7+sqrt5)

Simplify each of the following by rationalising the denominator: (sqrt7-sqrt5)/(sqrt7+sqrt5)

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

Simplify the following expressions.(i) (5+sqrt(7))(2+sqrt(5)) (ii) (5+sqrt(5))(5-sqrt(5)) (iv) (sqrt(11)-sqrt(7))(sqrt(11)+sqrt(7))