Show that 189 is not a perfect cube.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Resolving 189 into prime factors, we get
189 = 3 3 3 7

Now, make triplets. We find that one triplet is formed and one factor is left out.

Thus, 189 cannot be expressed as a product of triplets.

Hence, 189 is not a perfect cube.

Answered by  | 4th Jun, 2014, 03:23: PM