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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.

32768

✓

Answer

32768
= 2 × 2 × 2 × 4 × 4 × 4 × 4 × 4 × 4
= (2 × 4 × 4) × (2 × 4 × 4) × (2 × 4 × 4)
= (2 × 4 × 4)³
= 32³
$\therefore \sqrt[3]{32768}=3$
\begin{tabular}{l|l}
\hline 2 & 32768 \\
\hline 2 & 16384 \\
\hline 2 & 8192 \\
\hline 4 & 4096 \\
\hline 4 & 1024 \\
\hline 4 & 256 \\
\hline 4 & 64 \\
\hline 4 & 16 \\
\hline 4 & 4 \\
\hline & 1 \\
\hline
\end{tabular}

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