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Indices and Cube Root — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsIndices and Cube Root2 Marks
Question
Find the cube root of the following numbers.

-512

✓

Answer

-512
= 2 × 2 × 2 × 4 × 4 × 4
= (2 × 4) × (2 × 4) × (2 × 4)
= (2 × 4)³
= 8³
∴ – 512 = (- 8) × (- 8) × (- 8)
= (-8)³
$\therefore \sqrt[3]{-512}= -8$
\begin{tabular}{l:l}
\hline 2 & 512 \\
\hline 2 & 256 \\
\hline 2 & 128 \\
\hline 4 & 64 \\
\hline 4 & 16 \\
\hline 4 & 4 \\
\hline & 1
\end{tabular}

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