Specify how many digits are in the cube root of number 9261:

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answer is B.

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Detailed Solution

Concept- We are aware that determining a number's cube root is equivalent to asking what the number is that, when multiplied by itself three times, produces the number 9261. Use the factorization method to create triplets of the same components in order to solve the above problem. Once the triplets have been reduced to a single factor, multiply the final factors to discover the cube root, whose number of digits is the solution.
We want to look for a number that, when multiplied by itself three times, returns us the original number in order to find the cube root of that number.
For instance, get the integer that, when multiplied by itself three times, equals 8, if we wish to find the cube root of 8. Because

, the cube root of 8, represented by the notation

Using the aforementioned logic, we determine that the above number's cube root is 9261.
To find the above number's prime factors, we factor it.

We create triplets out of related components.

Reduce the triplets mentioned above to a single integer in order to determine the cube root.

Since the result is 21, the correct response is 2.
Hence, option 2 is correct.

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