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Simplify \sqrt[3]{576000 \cdot 4 \cdot 48}

 

Simplify \(\sqrt[3]{576000 \cdot 4 \cdot 48}\)

 Apr 25, 2023
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576,000 * 4 * 48 = 110,592,000

 

110,592,000 = [2^15 * 3^3 * 5^3]^(1/3)

 

2^(15/3) * 3 * 5 =2^5 * 3 * 5 =32 * 15 =480

 

[576,000 * 4 * 48]^(1/3) = 480

 Apr 25, 2023

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