Fill in the blanks: [3] 480 = [3] 3 2 [3] ... - Vidyadip

Question

Fill in the blanks: $\sqrt[3]{480}=\sqrt[3]{3}\times2\times\sqrt[3]{...}$

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Answer

$\sqrt[3]{480}=\sqrt[3]{3}\times2\times\sqrt[3]{\underline{20}}$ Solution: $\because\sqrt[3]{480}=\sqrt[3]{\{2\times2\times2\}\times2\times2\times3\times5}$ $=2\times\sqrt[3]{3}\times\sqrt[3]{5\times2\times2}$ $=\sqrt[3]{3\times2\times\sqrt[3]{20}}$

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