Simplify `(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2))+(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt2)`

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

(sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))^(2)

Simplify (sqrt(2)-1+sqrt(6))/sqrt(5)

Simplify (sqrt(5)+sqrt(2))(sqrt(3)+sqrt(2))

(sqrt(5)-sqrt(2))(sqrt(2)-sqrt(3)) (sqrt(5)-sqrt(3))^(2)

(sqrt(5)-sqrt(2))(sqrt(2)-sqrt(3)) (sqrt(5)-sqrt(3))^(2)

(sqrt(5)-sqrt(2))(sqrt(2)-sqrt(3)) (sqrt(5)-sqrt(3))^(2)

simplify (sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))-(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

If a=(sqrt(5)+sqrt(2))/(sqrt(5)-sqrt(2)) and b=(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)), find the value of (a^(2)+ab+b^(2))/(a^(2)-ab+b^(2))

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