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Cubes and Cube Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsCubes and Cube Roots2 Marks
Question
Evaluate:
$\sqrt[3]{-1331}$
✓

Answer

We know that $\sqrt[3]{-1331}=-\sqrt[3]{1331}$
Resolving 1000 into prime factors,
We get,
$1331= 11\times11\times 11$
$= (11)^3$
$\therefore\sqrt[3]{1331}=11$
$\therefore\sqrt[3]{-1331}=-\big(\sqrt[3]{1331}\big)=-11$

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