Simplify
`(1) (3+sqrt3)(2+sqrt2)`
`(2) (3+sqrt3)(3-sqrt3)`
`(3) (sqrt5+sqrt2)^2`
`(4) (sqrt5-sqrt2)(sqrt5+sqrt2)`

(sqrt5+sqrt2)(sqrt3+sqrt2)

(3 + sqrt3)(2 + sqrt5)

2/(sqrt5 - sqrt3)

2/(sqrt5 - sqrt3)

2/(sqrt5 - sqrt3)

2/(sqrt5 - sqrt3)

2/(sqrt5 - sqrt3)

Simplify each of the following expressions : (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)+sqrt(2))^(2) (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

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

Simplify (2+sqrt3)/(sqrt5+sqrt2)