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Lyrx [107]
4 years ago
14

Which of the following product? assume y>0 3 square root(y^2 square root 4+ square root 8y)

Mathematics
1 answer:
Arada [10]4 years ago
8 0

Answer:

  6y^2\sqrt{10}+12\sqrt{5y}

Step-by-step explanation:

Use the distributive property and the rules for forming and simplifying square roots.

  (√a)(√b) = √(ab)

  √(a²b) = a√b

__

  3\sqrt{10}\cdot(y^2\sqrt{4}+\sqrt{8y})=(3\sqrt{10})(2y^2) +(3\sqrt{10})(\sqrt{8y})\\\\=6y^2\sqrt{10}+3\sqrt{80y}\\\\=6y^2\sqrt{10}+3\sqrt{(4^2)(5y)}\\\\=\boxed{6y^2\sqrt{10}+12\sqrt{5y}}\qquad\text{matches the first choice}

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