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प्रश्न
Which is the smallest number that must be multiplied to 77175 to make it a perfect cube?
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उत्तर
The prime factor of 77175 are
| 3 | 77175 |
| 3 | 25725 |
| 5 | 8575 |
| 5 | 1715 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
= 3 x 3 x 5 x 5 x 7 x 7 x 7
= (7 x 7 x 7) x 3 x 3 x 5 x 5
Clearly, 77175 must be multiplied by 3 x 5
= 15
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संबंधित प्रश्न
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 130 .
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
\[\sqrt[3]{8 \times . . .} = 8\]
\[\sqrt[3]{1728} = 4 \times . . .\]
\[\sqrt[3]{\frac{27}{125}} = \frac{. . .}{5}\]
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Find `root(3)(0.125)`.
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