Question

Mark (✓) against the correct answer
$\sqrt[3]{216\times 64}=?$
(a) 64
(b) 32
(c) 24
(d) 36

Answer 1

(c) 24

$\sqrt[3]{216\times 64}$ = $\sqrt[3]{216}\times \sqrt[3]{64}=\sqrt[3]{2\times 2\times 2\times 3\times 3\times 3}\times \sqrt[3]{2\times 2\times 2\times 2\times 2\times 2}$
$\sqrt[3]{216\times 64}$ = $\sqrt[3]{{\left(2\right)}^3\times {\left(3\right)}^3}\times \sqrt[3]{{\left(2\right)}^3\times {\left(2\right)}^3}=\sqrt[3]{{\left(6\right)}^3}\times \sqrt[3]{{\left(4\right)}^3}$
$\sqrt[3]{216\times 64}$ = $6\times 4=24$
∴ $\sqrt[3]{216\times 64}$ = 24