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CBSE Class 8 Answered

Show that 189 is not a perfect cube.
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
answered-by-expert 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 | 04 Jun, 2014, 15:23: PM
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