2*sin(b lif y)(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))

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: (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))

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

Evaluate : (sqrt(7)+sqrt(5))/(sqrt(7)+sqrt(20)+sqrt(28)-sqrt(5)-sqrt(80))

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(2)), then x+y+xy=9(b)5(c)17(d)7, then

If x=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)),y=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) find the value of (x-y)^(2)

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))