Simplify the following expressions :
(i) `(3+sqrt(3))(2+sqrt(2))`
(ii) `(2+sqrt(3))(2-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) `1`
(iii) `7+2sqrt(10)`
(iv) `3`