643 By prime factorisation: 64 = 2 #215;2 #215;2 #215;2 #215;2 #215;2 nbsp; nbsp; nbsp; nbsp; = 2 #215;2 #215;2 #215;2 #215;2 #215; ...

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Factors of Natural Numbers

Evaluate:643

Question

Evaluate:
$\sqrt[3]{64}$

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Solution

$\sqrt[3]{64}$
By prime factorisation:
64 = $2 \times 2 \times 2 \times 2 \times 2 \times 2$
= $(2 \times 2 \times 2) \times (2 \times 2 \times 2)$

∴ $\sqrt[3]{64} = \sqrt[3]{(2)^{3} \times (2)^{3}} = (2 \times 2) = 4$

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