Question
Find the cube root of $15625$ by prime factorisation method.
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Answer
Prime factorisation of $15625$ is
$5 \times 5 \times 5 \times 5 \times 5 \times 5$ [grouping the factors in triplets]
$= 5^3 \times 5^3= (5 \times 5)^3= 25^3$
Therefore, $\sqrt[3]{{15625}} = 5 \times 5 = 25.$
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