Evaluate :

`( sqrt6 + sqrt5 )^2 + 1/ ( sqrt6 + sqrt5 )^2`

Evaluate : ( sqrt5 - sqrt2 ) times ( sqrt5 + sqrt2 )

The value of (1)/( sqrt(7) - sqrt(6)) - (1)/( sqrt(6) - sqrt(5) ) +(1)/( sqrt(5) -2) - (1)/( sqrt(8) - sqrt(7) ) +(1)/( 3- sqrt(8)) is

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

The value of { 1/(sqrt6 - sqrt5) - 1/(sqrt5 - sqrt4) + 1/(sqrt4 - sqrt3) - 1/(sqrt3 - sqrt2) + 1/(sqrt2 - 1)} is :

The value of {1/((sqrt(6) - sqrt(5))) + 1/((sqrt(5) + sqrt(4))) + 1/((sqrt(4) + sqrt(3))) - 1/((sqrt(3) - sqrt(2))) + 1/((sqrt(2) - 1))} is :

(5 + sqrt6)/(5 - sqrt6)

Evaluate: (sqrt(3)+sqrt(5))/(sqrt(6)+sqrt(2))