Question
Is $216$ a perfect cube?
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Answer
By prime factorisation,
$216 = 2 \times 2 \times 2 \times 3 \times 3 \times 3 [grouping the factors in triplets]$
$ =2^3 \times 3^3 $
$ =(2 \times 3)^3$
$=6^3$ which is a perfect cube.
All the terms form triplets
Therefore, $216$ is a perfect cube.
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