Simplify `(4+sqrt5)/(4-sqrt5)+(4-sqrt5)/(sqrt5+4)`

(4-sqrt5)/sqrt10

Simplify: (5+sqrt5)(5-sqrt5)

simplify :(4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5))

Simplify: (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(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))

Simplify each of the following : (3)/(5-sqrt(3))+(2)/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5))(sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

Simplify (3sqrt5-5sqrt2)(4sqrt5+3sqrt2)

Simplify: (sqrt5-sqrt2)(sqrt2-sqrt3)

Simplify (sqrt5 - sqrt3)(sqrt5 + sqrt 3)