Question
Find the cube roots of these numbers : $\sqrt[3]{512}=$
✓
Answer
$\sqrt[3]{512}$
$\begin{array}{l}512=(2 \times 2 \times 2) \times(2 \times 2 \times 2) \times(2 \times 2 \times 2) \\=2^3 \times 2^3 \times 2^3 \\=(2 \times 2 \times 2)^3=8^3 \\\therefore \sqrt[3]{512}=8\end{array}$
$\begin{array}{l}512=(2 \times 2 \times 2) \times(2 \times 2 \times 2) \times(2 \times 2 \times 2) \\=2^3 \times 2^3 \times 2^3 \\=(2 \times 2 \times 2)^3=8^3 \\\therefore \sqrt[3]{512}=8\end{array}$
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