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प्रश्न
Find the cube root of the following numbers by the prime factorisation method.
27000
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उत्तर
| 2 | 27000 |
| 2 | 13500 |
| 2 | 6750 |
| 3 | 3375 |
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factorisation of 27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5
= 23 × 33 × 53 = (2 × 3 × 5)3
∴ `root3 (27000)`
= 2 × 3 × 5 = 30
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
15625
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]
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