Question

363 × 81 is a perfect cube.

विकल्प

• True

• False

Answer 1

This statement is False.

Explanation:

∵ 363 × 81 = 3 × 11 × 11 × 3 × 3 × 3 × 3

= 3 × 3 × 3 × 3 × 3 × 11 × 11

Grouping the factors in triples 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.