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प्रश्न
What is the least number by which 30375 should be multiplied to get a perfect cube?
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उत्तर
The prime factors of 30375 are
| 3 | 30375 |
| 3 | 10125 |
| 3 | 3375 |
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
= 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5
= (3 x 3 x 3) x (5 x 5 x 5) x 3 x 3
Clearly, 30375 must be multiplied with 3
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संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
15625
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
\[\sqrt[3]{\frac{27}{125}} = \frac{. . .}{5}\]
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