" 55.Wren throre: "(sqrt(5)+sqrt(3))/(sqrt(80)+sqrt(48)-sqrt(45)-sqrt(27))

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

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

sqrt(45)-3sqrt(20)+4sqrt(5)

sqrt(sqrt(7+sqrt(48))-sqrt(7-sqrt(48)))=

What is the value (sqrt(5)-sqrt(3))/(sqrt(5) + sqrt(3)) - (sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) ?

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

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))