Find Value of ∛(125 × 27)

Question

\[ \sqrt[3]{125 \times 27} \]

Solution

\[ 125 = 5^3,\quad 27 = 3^3 \]
\[ = \sqrt[3]{5^3 \times 3^3} \]
\[ = \sqrt[3]{(15)^3} \]
\[ = 15 \]

Answer

\[ \boxed{15} \]

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