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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.

8000

✓

Answer

8000
= 2 × 2 × 2 × 10 × 10 × 10
= (2 × 10) × (2 × 10) × (2 × 10)
= (2 × 10)³
= 20³
\begin{tabular}{c|l}
$\therefore \sqrt[3]{8000}=20$ \\
\hline 2 & 8000 \\
\hline 2 & 4000 \\
\hline 2 & 2000 \\
\hline 10 & 1000 \\
\hline 10 & 100 \\
\hline 10 & 10 \\
\hline & 1 \\
\hline
\end{tabular}

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