Question

Multiply and simplify (6-sqrt3)(3+sqrt3)

Answer 1

First, let's distribute the terms:

(6 - sqrt(3))(3 + sqrt(3)) = 6(3) + 6(sqrt(3)) - 3(sqrt(3)) - (sqrt(3))(sqrt(3))

Now, simplify the terms:

18 + 6sqrt(3) - 3sqrt(3) - 3
= 15 + 3sqrt(3)

So, the simplified expression is: 15 + 3sqrt(3)