What is the following product? Assume y greater-than-or-equal-to 0

3 StartRoot 10 EndRoot (y squared StartRoot 4 EndRoot + StartRoot 8 y EndRoot)

A. 6 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot
B. 6 StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot
C. 6 y squared StartRoot 10 EndRoot + 4 StartRoot 5 y EndRoot
D. 3 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

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A. 6 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

Step-by-step explanation:

Given the question as;

3√10 (y²√4 + √8y)

replace √4 with 2

3√10(y²×2 +√8y)

replace √8y with 2√2y

3√10(2y²+2√2y)

Expand

3*2y²√10 + 3*2*√10*√2y

6y²√10 +6√20y

simplify √20y to 2√5y

6y²√10 + 6*2√5y

6y²√10 +12√5y

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Product : https://brainly.com/question/12626903

Keywords: product, roots

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Answer: it is A

hope it helped

Step-by-step explanation:

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