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))`

Answer

(i) `6+3sqrt(2)+2sqrt()3+sqrt()6`
(ii) 6
(iii) `7+2sqrt(10)`
(iv) 3