Evaluate :

`( 2 + sqrt2 ) + ( 2 - sqrt3 + 3 + sqrt3 )`

3(2 + sqrt3)(2 - sqrt3)

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

Evaluate : 1/( 1 + sqrt (2) ) + 1/( sqrt(2) + sqrt (3) ) + 1/ ( sqrt(3) + sqrt (4) )

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

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

Evaluate : ( sqrt(2) - sqrt(3) + sqrt(5) )times ( sqrt(2) + sqrt(3) + sqrt(5) )

Find the value of (2 - sqrt3)/(2 + sqrt3)

(3 + sqrt2)(2-sqrt3)(3-sqrt2)(2+sqrt3)

If a = (2 + sqrt3)/(2 - sqrt3) and b = (2 - sqrt3)/(2 + sqrt3) , then the value of (a^(2) + b^(2) +ab) is :

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