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By prime factorization method, the cube root of is ?

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answer is C.

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Detailed Solution

Concept: A number's cube root is basically the factor which multiplied three times to get that number. So, write the given term in the form of the product of the factor three times.
Given number is

,
Using Prime factorisation method,
Factors of

are

Now, the cube root of

can be expressed as

It implies that,

is the perfect cube of

.
Hence, the correct answer is option (3) .

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