Question

How do you simplify `sqrt(-6)*sqrt(-24)`?

Answer 1

`sqrt(6)*sqrt(24) = 12`

Explanation:

In order to simplify a surd, we rewrite it as a product of two factors, one being the largest perfect square.

We can't simplify `sqrt(6)` but we can simplify `sqrt24`: `sqrt24 = sqrt4*sqrt6 = 2sqrt6`

`sqrt6 * 2 sqrt6 = 2*6 = 12`