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Find the cube root of 13824 by prime factorisation method. - Mathematics

Sum

Find the cube root of 13824 by prime factorisation method.

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Solution

13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
= 23 × 23 × 23 × 33.
Therefore, `root(3)(13824) = 2 xx 2 xx 2 xx 3 = 24`.
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