Simplify :

`( sqrt(3) - sqrt(2) ) / ( sqrt(3) + sqrt(3) )`

Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3)) (ii) (2 sqrt(8) - 3 sqrt(2))^(2) (iii) (sqrt(7) + sqrt(6))^(2) (iv) (6 - sqrt(2))(2 + sqrt(3))

Simplify : ((2 sqrt(45) + 3 sqrt(20)))/(2sqrt5)

Simplify : 2 /( sqrt(6) times sqrt(3) )

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))( ii) (5+2sqrt(3))/(7+4sqrt(3))

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

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))

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

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