Find `x` if `(x^(sqrt5+sqrt3))^(sqrt5-sqrt3)` =9

solve (3sqrt5 +sqrt3)/(sqrt5 -sqrt3)

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

Rationlise the denominator and simplify: (sqrt5+sqrt3)/(sqrt5-sqrt3)

Find : (sqrt5+sqrt2)(sqrt3+sqrt2)

If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5- sqrt3) find the value of x^(2) + y ^(2)

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))

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

(iii) (sqrt 5+ sqrt 3)/(sqrt5-sqrt3)+(sqrt5-sqrt3)/(sqrt5+sqrt3) =?

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

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =