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प्रश्न
Find the cube root of the following number by the prime factorisation method.
91125
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उत्तर
| 3 | 91125 |
| 3 | 30375 |
| 3 | 10125 |
| 3 | 3375 |
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factorisation of 91125 = 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5
= 33 × 33 × 53
= (3 × 3 × 5)3
∴ `root3 (91125)`
= 3 × 3 × 5
= 45
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
110592
\[\sqrt[3]{480} = \sqrt[3]{3} \times 2 \times \sqrt[3]{. . .}\]
\[\sqrt[3]{\frac{512}{. . .}} = \frac{8}{13}\]
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