Question

Tick (✓) the correct answer
$\sqrt[3]{512}=?$
(a) 6
(b) 7
(c) 8
(d) 9

Answer 1

(c) 8

$\sqrt[3]{512}$ = $\sqrt[3]{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2}=\sqrt[3]{\left(2\times 2\times 2\right)\times \left(2\times 2\times 2\right)\times \left(2\times 2\times 2\right)}$
$\sqrt[3]{512}$ = $\sqrt[3]{{\left(2\right)}^3\times {\left(2\right)}^3\times {\left(2\right)}^3}=8$

Hence, the cube root of 512 is 8.