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week 8 quiz due sunday by 11:59pm points 100 submitting an external too…

Question

week 8 quiz
due sunday by 11:59pm points 100 submitting an external tool a
question 1 - 1 point
simplify: sqrt3{4 y^{4}}.
provide your answer below:

Explanation:

Step1: Split the radicand

$$\sqrt[3]{4y^4}=\sqrt[3]{4y^3\cdot y}$$

Step2: Use the property of cube roots

$$\sqrt[3]{4y^3\cdot y}=\sqrt[3]{y^3}\cdot\sqrt[3]{4y}$$

Step3: Simplify $\sqrt[3]{y^3}$

$$\sqrt[3]{y^3}=y$$

Answer:

$y\sqrt[3]{4y}$