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प्रश्न
363 × 81 is a perfect cube.
विकल्प
True
False
उत्तर
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.
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संबंधित प्रश्न
The following number is a perfect cube or not?
216
The following number is a perfect cube or not?
128
The following number is a perfect cube or not?
1000
The following number is a perfect cube or not?
100
Observe the following pattern:
13 = 1
13 + 23 = (1 + 2)2
13 + 23 + 33 = (1 + 2 + 3)2
Write the next three rows and calculate the value of 13 + 23 + 33 + ... + 93 + 103 by the above pattern.
There are five perfect cubes between 1 and 100.
999 is a perfect cube.
