Question:
Tick (✓) the correct answer
$\sqrt[3]{512}=?$
(a) 6
(b) 7
(c) 8
(d) 9
Solution:
(c) 8
$\sqrt[3]{512}=\sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2}=\sqrt[3]{(2 \times 2 \times 2) \times(2 \times 2 \times 2) \times(2 \times 2 \times 2)}$
$\sqrt[3]{512}=\sqrt[3]{(2)^{3} \times(2)^{3} \times(2)^{3}}=8$
Hence, the cube root of 512 is 8.
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