Simplify `(sqrt(2)-1)/(3^(3)-1)+(sqrt(3)-1)/(4^(3)-1)+(sqrt(4)-1)/(5^(3)-1)`

(1)/(4sqrt(3)-3sqrt(5))

Simplify: (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(5))

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

Simplify (sqrt(2)*(3)^((1)/(3))*(4)^((1)/(4)))/((10^(-1))^((1)/(5))*(5)^((3)/(5)))

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

5.Simplify: (1/sqrt 2)/((2/sqrt3)+2)

Simplify (1/2+1/sqrt2-sqrt3)/(sqrt3-1/sqrt2-1/sqrt3)

Simplify: (sqrt3 +1 ) (sqrt 3 - 1) (2 + sqrt 3) ( 2 - sqrt3)