Question

How do you simplify `6sqrt6 + 6sqrt3`?

Answer 1

`6sqrt(3) * (sqrt(2) + 1)`

Explanation:

You can start by writing

`sqrt(6) = sqrt(2 * 3) = sqrt(2) * sqrt(3)`

The expression will thus be

`6 * sqrt(2) * sqrt(3) + 6sqrt(3) = sqrt(2) * 6sqrt(3) + 6sqrt(3)`

Now use `6sqrt(3)` as a common factor to get the simplified form

`sqrt(2) * 6sqrt(3) + 6sqrt(3) = color(green)(6sqrt(3) * (sqrt(2) + 1))`