4 years ago

Problem ID: PRABG4QG

Mathematics

1 answer:

skelet666 [1.2K]4 years ago

6 0

Answer:

the answer is 48

Step-by-step explanation:

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Answer:

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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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Answer:

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Step-by-step explanation:

The simplified expression would be 6xyz because you distribute the 6 to the (xyz).

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