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Cubes and Cube Roots — MATHS STD 8 — Question

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