Which of the following is a perfect cube?
343 = 7 × 7 × 7
∴ 343 is a perfect cube.
What is the value of
The value of x^{3}y^{2}, if x= 3, y= 3 will be
Find the least number which should be added to 500, in order to make the 500, a perfect cube.
500 = 2 × 5 × 5 × 5 = 2 × 5^{3
}
∴ 12 should be added to make the sum, a perfect cube
What is the least number which should be subtracted from 1370, in order to make the resultant, a perfect square?
1370 = 2 × 5 × 137 1370 > 103 = 1000
∴ 113 = 1331, 123 = 1728
∴ 13701331 = 39
∴ Required number = 39
= 0.004
19^{3} – 9^{3} will have – as its one of the factors
will have (19 – 9) has one of its factors
∴ 10 will be a factor of (193 – 93)
21^{3} + 27^{3} will have – as its one of the factors
21^{3 }+ 27^{3 }has (21 + 27) as its one of the factors
∴ 48 will be a factor of (21^{3} + 27^{3})
Which is the least number which should be added to 1720,in order to make it a perfect cube?
1720 > 1000 = 10^{3}
∴ 11^{3} = 1331, 12^{3} = 1728
∴ 1728 – 1720 = 8 should be added to 1720 to make the sum, a perfect cube.
where ‘n’ is a natural number, then
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