Question
Find the cube root of $27000$ by prime factorisation method.
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Answer
Prime factorisation of $27000$ is
$2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 5 \times 5 \times 5$ [grouping the factors in triplets]
$=2^3 \times 3^3 \times 5^3$
Therefore, $\sqrt[3]{{27000}} = 2 \times 3 \times 5 = 30$
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