Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots1 Mark
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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