Question:
Evaluate:
$\sqrt[3]{9261}$
Solution:
$\sqrt[3]{9261}$
By prime factorisation:
$9261=3 \times 3 \times 3 \times 7 \times 7 \times 7$
$=(3 \times 3 \times 3) \times(7 \times 7 \times 7)=3^{3} \times 7^{3}$
$\therefore \sqrt[3]{9261}=(3 \times 7)=21$
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