Find the cube root of $512$ by prime factorisation method.

Question

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Answer 1

$512 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
$= 2^{3} \times 2^{3} \times 2^{3}$
$\Rightarrow 3512 = 2 \times 2 \times 2 = 8$

Answer 2

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}

\Rightarrow 3512 = 2 \times 2 \times 2 = 8