Question:
Evaluate:
$\sqrt[3]{64 \times 729}$
Solution:
$\sqrt[3]{64 \times 729}$
$\sqrt[3]{64 \times 729}=\sqrt[3]{64} \times \sqrt[3]{729}$
$=\sqrt[3]{4 \times 4 \times 4} \times \sqrt[3]{(3 \times 3 \times 3)} \times(3 \times 3 \times 3)$
$=\sqrt[3]{4 \times 4 \times 4} \times \sqrt[3]{(9 \times 9 \times 9)}$
$\sqrt[3]{64 \times 729}=(4) \times(9)=36$
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