Simplify: `(sqrt(5)+sqrt(3))/(sqrt(80)+sqrt(48)-sqrt(45)-sqrt(27))`

For (1)/(asqrt(x)+bsqrt(y)) the rationalising factor is a asqrt(x)-bsqrt(y) . If x=(sqrt(5)+sqrt(3))/(sqrt(80)+sqrt(48)-sqrt(45)-sqrt(27)) then value of 4x^(2)+3x+5 is

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

Simplify: (5+sqrt3)(5-sqrt3)

simplify (sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))-(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

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

Simplify sqrt5 sqrt(-3)

Simplify : 2sqrt(2)-3sqrt(32)+2sqrt(48)

(4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18))

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

Simplify: 4sqrt(12)-sqrt(75)-7sqrt(48)