Question 82
State whether the following statement is true or false:
363×81 is a perfect cube.
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.