Simplify the following expressions: (i)`(3+sqrt(3))\ (3-sqrt(3))` (ii) `(sqrt(5)-\ sqrt(2)\ )(sqrt(5)+sqrt(2))`

Explanation

(i) `(3+sqrt(3))\ (3-sqrt(3))`
we know,
`(a+b)(a-b)=(a^2-b^2)`
`(3+sqrt3)(3-sqrt3)=(3^2-(sqrt3)^2)`
`=9-3=6`
(ii) `(sqrt(5)-\ sqrt(2)\ )(sqrt(5)+sqrt(2))`
we know,
`(a+b)(a-b)=(a^2-b^2)`
`(sqrt5+sqrt2)(sqrt5-sqrt2)=((sqrt5)^2-(sqrt2)^2)`
`=5-2=3`