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marissa [1.9K]
3 years ago
8

What is this simplified?

Mathematics
2 answers:
miv72 [106K]3 years ago
7 0

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

Step-by-step 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.

Vitek1552 [10]3 years ago
4 0

ANSWER

- 8 \sqrt{3}

EXPLANATION

We want to simplify:

- 2 \sqrt{48}

Remove the perfect square under the radical sign.

- 2 \sqrt{16 \times 3}

Split the radical sign for the factors under it.

- 2 \sqrt{16}  \times  \sqrt{3}

Simplify:

- 2  \times 4\times  \sqrt{3}

This finally gives us:

- 8 \sqrt{3}

The first choice is correct.

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