Question

Simplify:

`(4 + sqrt(3))(4 - sqrt(3))`

Answer 1

Given: `(4 + sqrt(3))(4 - sqrt(3))`

Step-wise calculation:

This is in the form (a + b)(a – b) = a² – b², where a = 4 and b = `sqrt(3)`.

`(4 + sqrt(3))(4 - sqrt(3))`

= `4^2 - (sqrt(3))^2`

= 16 – 3

= 13