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Cubes and Cube Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots1 Mark
Question
Find the cube root of the following rational numbers:
1.131
✓

Answer

We have:
$1.131=\frac{1331}{1000}$
$\therefore\sqrt[3]{1.331}$
$=\sqrt[]{\frac{1331}{1000}}$
$={\frac{\sqrt[3]{1331}}{\sqrt[3]{1000}}}$
$={\frac{\sqrt[3]{11\times11\times11}}{\sqrt[3]{1000}}}$
$=\frac{11}{10}=1.1$

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