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Cubes and Cube Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots2 Marks
Question
Evaluate:
$\sqrt[3]{\frac{125}{216}}$
✓

Answer

$\sqrt[3]{\frac{125}{216}}$
$=\frac{\sqrt[3]{125}}{\sqrt[3]{216}}$
$=\frac{\sqrt[3]{5\times5\times5}}{\sqrt[3]{2\times2\times2\times3\times3\times3}}$
$=\frac{5}{2\times3}$
$=\frac{5}{6}$

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