Question

What is this simplified?

Answer 1

Answer: -8 square root of 3 (choice a)

Explanation:

You have to find 2 numbers that multiply to 48 and in the same time, 1 of these numbers is a perfect square. In this case, the numbers are 16 and 3. So -2√16*3

Then since 16 is. A perfect square, and the square root is 4, you take out the 4 and multiply it by -2 so that is -8 and now you are left with -8√3. Hopefully that helped.

Answer 2

`- 8 √(3)`

EXPLANATION

We want to simplify:

`- 2 √(48)`

Remove the perfect square under the radical sign.

`- 2 √(16 * 3)`

Split the radical sign for the factors under it.

`- 2 √(16) * √(3)`

Simplify:

`- 2 * 4* √(3)`

This finally gives us:

`- 8 √(3)`

The first choice is correct.