`(sqrt 5)^4 xx (sqrt 5)^3-:(sqrt 5)^7`

(3+sqrt5)^2 xx (3-sqrt5)^2 = ?

Simplify: (sqrt 3 - sqrt 5)(sqrt 5+ sqrt 3)

Simplify : (\sqrt 5 - \sqrt 3)/(\sqrt 3 + \sqrt 5) \times (\sqrt 5 - \sqrt 3)/(\sqrt 3 -\sqrt 5)

Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (iii) (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

Find (sqrt 3 - sqrt 5)(sqrt 5+ sqrt3)

Find the number of terms in the following expansions. ( sqrt(3) + sqrt(5) )^(7) ( sqrt(3) - sqrt(5) )^(7)

The simplest rationalising factor of sqrt(3)+\ sqrt(5) is (a) sqrt(3)-5 (b) 3-sqrt(5) (c) sqrt(3)-sqrt(5) (d) sqrt(3)+\ sqrt(5)

Rationalize the denominator 1/(sqrt 3 - sqrt 2) - 2/(sqrt 5 - sqrt 3) + 3/(sqrt 5 - sqrt 2)

((4 +sqrt5)/(4-sqrt5)) +((4-sqrt5)/(4+sqrt5)) =?

Evalutate : (4-sqrt(5))/(4+sqrt(5))+ (4+sqrt(5))/(4-sqrt(5))