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

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answer is A.

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Detailed Solution

Concept: Find the number's prime factorization first, then create the triplet of factors to solve the cube root problem using the prime factorization method.
Prime factorization of number 13824 is:

Further we make the triplet of factors:

Adding more simplifications and writing the RHS as a cube.
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We will now go on to determine the cube root.
Question Image

Hence, the correct answer is option 1.

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