Question

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Answer 1

Answer:
The third choice is the correct one

Explanation:
Square root means that what is under the root has power of 1/2

8 = 4 * 2
Therefore:
√8 = √4 * √2 = 2√2

The given expression:
(8 * x^7 * y*8)^1/2 = (8)^1/2 * (x^7)^1/2 * (y^8)^1/2
                             = 2√2 * x^7/2 * y^4
                            = 2√2 * x^3 * y^4 * √x
                            = 2* x^3 * y^4 √2x

Hope this helps :)