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Question

Question 82

State whether the following statement is true or false:

363×81 is a perfect cube.


Solution

False
   363×81=3×11×11×3×3×3×3
=3×3×3×3×3×11×11
Grouping the factors in triplets of equal factors, we have
363×81=(3×3×3)×3×3×11×11
Clearly, in grouping, the factors in triplets of equal factors, we are left with two factors 3×3 and 11×11
Hence, 363×81 is not a perfect cube.

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