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प्रश्न
Find the cube root of the following number by the prime factorisation method.
13824
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उत्तर
| 2 | 13824 |
| 2 | 6912 |
| 2 | 3456 |
| 2 | 1728 |
| 2 | 864 |
| 2 | 432 |
| 2 | 216 |
| 2 | 108 |
| 2 | 54 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factorisation of 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ×2 × 3 × 3 × 3
= 23 × 23 × 23 × 33
= (2 × 2 × 2 × 3)3
∴ `root3 (13824)`
= 2 × 2 × 2 × 3
= 24
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संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
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\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
\[\sqrt[3]{\frac{27}{125}} = \frac{. . .}{5}\]
\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]
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