sqrt(2)+sqrt(3)" is an indioned "

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

sqrt(2+sqrt(3))*sqrt(2+sqrt(2+sqrt(3)))*sqrt(2+sqrt(2+sqrt(2+sqrt(3))))sqrt(2-sqrt(2+sqrt(2+sqrt(3)))) is equal to a.1b.2c.4dsqrt(6)

(sqrt(5)+sqrt(3))((3sqrt(3))/(sqrt(5)+sqrt(2))-sqrt(5)/(sqrt(3)+sqrt(2))) is equal to :

If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) and b=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) , then find the value of 3(a^(2)-b^(2)) .

If x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), then the value of x^(3)+y^(3) is

If x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), then the value of x^(3)+y^(3) is

(i) sqrt(12+6sqrt(3))-sqrt(3) is (ii) sqrt((6-sqrt(5))+sqrt(14+6sqrt(5)))sqrt(3+2sqrt(2))-2sqrt(2)