Question

How do you simplify `4sqrt6*3sqrt3`?

Answer 1

Use `sqrt(ab) = sqrt(a)sqrt(b)` to find:

`4sqrt(6)*3sqrt(3) = 36sqrt(2)`

Explanation:

`4sqrt(6)*3sqrt(3) = 4sqrt(2*3)*3sqrt(3)`

`=4sqrt(2)sqrt(3)*3sqrt(3)`

`=12sqrt(3)sqrt(3)sqrt(2)`

`=12*3sqrt(2)`

`=36sqrt(2)`