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प्रश्न
Find the cube root of the following number.
8000
योग
उत्तर
To find the cube root of 8000, let us factorise 8000 first.
8000 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5
8000 = (2)3 × (2)3 × (5)3
8000 = (2 × 2 × 5)3
8000 = (20)3
`root3(8000) = root3(20^3)`
∴ `root(3)(8000) = 20`
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| Sr. No. | Number | Power of the root | Root of the power |
| (1) | `(225)^(3/2)` | Cube of square root of 225 | Square root of cube of 225 |
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| (5) | `(21)^(3/7)` |
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