`(sqrt5 - sqrt 3)^2`

(sqrt(5)-sqrt(2))(sqrt(2)-sqrt(3)) (sqrt(5)-sqrt(3))^(2)

(sqrt(5)-sqrt(2))(sqrt(2)-sqrt(3)) (sqrt(5)-sqrt(3))^(2)

(sqrt(5)-sqrt(2))(sqrt(2)-sqrt(3)) (sqrt(5)-sqrt(3))^(2)

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

Simplify the following expressions: (sqrt(3)+sqrt(7))^(2)( ii) (sqrt(5)-sqrt(3))^(2)(2sqrt(5)+3sqrt(2))^(2)

Simplify (i) (3-sqrt(11))(3+sqrt(11)) (ii) (-3+ sqrt(5))(-3-sqrt(3)-sqrt(5)) (iii) (3- sqrt(3))^(2) (iv) (sqrt(5) - sqrt(3))^(2) (v) (5+ sqrt(7))(2+ sqrt(5)) (vi) (sqrt(5) - sqrt(2))(sqrt(2) - sqrt(3))

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

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