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Question
Find the square root of the following number by the prime factorisation method.
7744
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Solution
7744 can be factorised as follows:
| 2 | 7744 |
| 2 | 3872 |
| 2 | 1936 |
| 2 | 968 |
| 2 | 484 |
| 2 | 242 |
| 11 | 121 |
| 11 | 11 |
| 1 |
7744 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11
∴ `sqrt(7744) = 2 xx 2 xx 2 xx 11 = 88`
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