Evaluate:

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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