Is 9261 a perfect cube? In case of a perfect cube, find the number whose cube it is.

# Is 9261 a perfect cube? In case of a perfect cube, find the number whose cube it is.

1. A
No
2. B
Yes, 21
3. C
Yes, 12
4. D
Yes, 26

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### Solution:

A perfect cube can be expressed as a product of three same numbers
Now by resolving the given number into prime factors we get,
9261 = 3 × 3 × 3 × 7 × 7 × 7
9261 a perfect cube.
Now, solving further, by converting the group of triplets as a single prime factor, we get,

Hence,  9261 is the cube of  21.
Yes,
9261 is a perfect cube and the cube root of 9261 is 21.

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