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Question
Find the square root of the following number.
1296
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Solution
| 2 | 1296 |
| 2 | 648 |
| 2 | 324 |
| 2 | 162 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3
`sqrt1296 = sqrt(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3)`
`sqrt1296 = sqrt(2^2 × 2^2 × 3^2 × 3^2)`
`sqrt1296 = 2 × 2 × 3 × 3`
`sqrt1296 = 36`
∴ The square root of 1296 is 36.
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