CBSE Class 8 Answered
Show that 189 is not a perfect cube.
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
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.
189 = 3
![](https://images.topperlearning.com/topper/questions/197783_E_454.gif)
![](https://images.topperlearning.com/topper/questions/197783_E_454.gif)
![](https://images.topperlearning.com/topper/questions/197783_E_454.gif)
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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