simlify
`sqrt5(sqrt3+sqrt5)`

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

Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

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

Simplify (7sqrt3)/(sqrt10+sqrt3)-(2sqrt5)/(sqrt6+sqrt5)-(3sqrt2)/(sqrt15+3sqrt2)

2sqrt5 - sqrt5 = sqrt5

Rationlise the denominator and simplify: (2)/(sqrt5+ sqrt3)

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

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

Rationalise the denominator and simplify: (i) (4sqrt(3)+5sqrt(2))/(sqrt(48)+\ sqrt(18)) (ii) (2sqrt(3)-\ sqrt(5))/(2\ sqrt(2)+\ 3sqrt(3))

Simplify: (2sqrt(3)+sqrt(5))(2sqrt(3)-sqrt(5))