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

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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