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marissa [1.9K]
2 years ago
8

What is this simplified?

Mathematics
2 answers:
miv72 [106K]2 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]2 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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We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
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