Evaluate :

`1/( sqrt2 - sqrt3 + sqrt5 ) + 1/( sqrt2 + sqrt3 + sqrt5 )`

Evaluate : 5/ ( sqrt(2) + sqrt(3) ) - 1/ (sqrt(2 ) + sqrt(3 ) )

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

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

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

1/(sqrt(2)+sqrt(3)+sqrt(5))+1/(sqrt(2)+sqrt(3)-sqrt(5))

(2sqrt3 + sqrt5)(2sqrt3 - sqrt5)

1/(sqrt5 +sqrt3 +2) + 1/(-sqrt5 +sqrt3 +2 ) =

(1)/(sqrt(2)+sqrt(3)-sqrt(5))+(1)/(sqrt(2)-sqrt(3)-sqrt(5))

Evaluate : ( 1 + sqrt(2) ) / ( sqrt(5) + sqrt(3) )