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

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

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

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

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

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))

If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) then value of sqrt(3a^2 - 5ab + 3b^2) is

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

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

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

Rationales the denominator and simplify: (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18))( ii) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))