Question
Evaluate: $\sqrt[3]{8\times17\times17\times17}$

Answer

Property: For any two integers a and b, $\sqrt[3]{\text{ab}}=\sqrt[3]{\text{a}}\times\sqrt[3]{\text{b}},$ From the above property, we have:​ $\sqrt[3]{8\times17\times17\times17}$ $=\sqrt[3]{2^3\times17^3}$ $=\sqrt[3]{2^3}\times\sqrt[3]{17^3}$ $=2\times17=34$

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