Question

4√6 •√3 how do I show work for this because the answer is 2√12​

Answer 1

`4 √(6) * √(3) = 12 √(2)`

Explanation:

We want to simplify the radical expression:

`4 √(6) * √(3)`

We write √6 as √(2*3).

This implies that:

`4 √(6) * √(3) = 4 √(2 * 3) * √(3)`

We now split the radical for √(2*3) to get:

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

We obtain a perfect square at the far right.

`4 √(6) * √(3) = 4 √(2) * (√(3) )^(2)`

This simplifies to

`4 √(6) * √(3) = 4 √(2) * 3`

This gives us:

`4 √(6) * √(3) = 4 * 3 √(2)`

and finally, we have:

`4 √(6) * √(3) = 12 √(2)`