Question
Simplify. \[ \sqrt[3]{4} \cdot \sqrt[3]{10} \]
Ask by Morrison Macdonald. in the United States
Dec 12,2024
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Answer
\( 2\sqrt[3]{5} \)
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Beyond the Answer
To simplify the expression \( \sqrt[3]{4} \cdot \sqrt[3]{10} \), we can use the property of cube roots that states \( \sqrt[3]{a} \cdot \sqrt[3]{b} = \sqrt[3]{a \cdot b} \). Applying this property, we have: \[ \sqrt[3]{4} \cdot \sqrt[3]{10} = \sqrt[3]{4 \cdot 10} \] Calculating the product inside the cube root: \[ 4 \cdot 10 = 40 \] Thus, we simplify the expression to: \[ \sqrt[3]{40} \] So the final simplified form is: \[ \sqrt[3]{40} \]
