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Question
Find the square root of the following number by the prime factorisation method.
4096
Solution
4096 can be factorised as follows:
| 2 | 4096 |
| 2 | 2048 |
| 2 | 1024 |
| 2 | 512 |
| 2 | 256 |
| 2 | 128 |
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 |
4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
∴ `sqrt(4096)` = 2 × 2 × 2 × 2 × 2 × 2 = 64
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