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

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

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))

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

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

If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) then value of sqrt(3a^2 - 5ab + 3b^2) is

if a=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)),b=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))

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

The value of ((sqrt(sqrt(3)+1)+sqrt(sqrt(3)-1))^(2)(sqrt(3)-sqrt(2)))/((sqrt(sqrt(3)+1))^(2)-(sqrt(sqrt(3)-1))^(2)) is

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