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Anit [1.1K]
3 years ago
6

Ill give u brainliest pls help

Mathematics
2 answers:
Alenkinab [10]3 years ago
4 0

Answer:

It is answer A) 5x^8y^8z^3 (sq rt 2y)

Step-by-step explanation:

1. Factor out the perfect square

(sqr rt) 5^2 × 2x^16 × y^16 xyz^6

2. Split each factor to their own square root

3. Simplify these roots

cupoosta [38]3 years ago
3 0

Answer:

A

Step-by-step explanation:

First let's factor 50. This will look like this: 2*5*5. Since there are two 5s, together they form a perfect square so we can bring it out of the square root. This is what we have so far now: 5\sqrt{2x^{16} y^{17} z^{6} }. Now we should move on to x^{16}, since 16 is an even number, we can just divide it in half and put x to the power of 16/2 outside the square root. This is what we have so far: 5x^{8} \sqrt{2y^{17}z^{6}  }. Now let's work on y^{17}. Since 17 is an odd number, we will separate it like this: 16 + 1. Now we can divide 16 by 2 and put y to the power of 16 divided by 2 outside of the square root, but the last y^{1} will need to continue inside. So this is what we have so far: 5x^{8}y^{8}  \sqrt{2y z^{6}}. Now all we have to do is take care of the z^{6}. Since 6 is even we can just divide it by 2 and put the z to the power of 6 divided by 2 outside of the square root. This is what we have: 5x^{8}y^{8} z^{3}  \sqrt{2y}.

We are done!

I hope this made sense. Please give Brainliest!

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