Question

38. Is 9720 a perfect cube? If not, find the smallest number by which it should be
divided to get a perfect cube.

Answer 1

Answer:

Nuclear fission is a reaction in which the nucleus of an atom splits into two or more smaller nuclei. The fission process often produces gamma photons, and releases a very large amount of energy even by the energetic standards of radioactive decay.

Answer 2

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9720 = 2×2×2× 3×3×3× 3×3×5

Here, a triplet of 3 and 5 is not complete.

Hence, 9720 is not a perfect cube.

If we divide 9720 by 3×3×5 or 45,

9720÷45 = 216, which is a perfect cube 6³.

So, 45 is the smallest number by which it should be divided to get a perfect cube.