Question

Simplify the following expressions:

`(3 + sqrt3)(3 - sqrt3)`

Answer 1

We know that `(a - b)(a + b) = a^2 - b^2`. We will use this property to simplify the expression

`(3 + sqrt3)(3 - sqrt3)`

`∴ (3 + sqrt3)(3 - sqrt3) = (3)^2 - (sqrt3)^2`

`= 3^2 - sqrt3 xx sqrt3`

`= 3 xx 3 - sqrt(3 xx 3)`

`= 9 - (3^2)^(1/2)`

`= 9 - 3^1`

= 6

Hence the value of expression is 6.