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Question
\[\sqrt[3]{480} = \sqrt[3]{3} \times 2 \times \sqrt[3]{. . .}\]
Solution
20
∵ \[\sqrt[3]{480} = \sqrt[3]{\left\{ 2 \times 2 \times 2 \right\} \times 2 \times 2 \times 3 \times 5} = 2 \times \sqrt[3]{3} \times \sqrt[3]{5 \times 2 \times 2} = \sqrt[3]{3} \times 2 \times \sqrt[3]{20}\]
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