Simplify:
`(2+sqrt3)/(2-sqrt3)`+ `(2-sqrt3)/(2+sqrt3)`

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

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

Rationalize the denominator: (2 + sqrt 3)/(2 - sqrt 3) + (2 - sqrt 3)/(2 + sqrt 3) + (sqrt 3 - 1)/(sqrt 3 + 1)

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

Simplify: sqrt(3-2sqrt(2))

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

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

Simplify : (3) / ( 5- sqrt3) + (2)/(5+ sqrt3)

Simplify: (sqrt3/2)^2 -(sqrt3)^2+(sqrt 2)^2 +1/2

Simplify: (i) (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))