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Question
Find the square root of the following number by the prime factorisation method.
729
Solution
729 can be factorised as follows:
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
729 = 3 × 3 × 3 × 3 × 3 × 3
So, `sqrt729 = 3 xx 3 xx 3 = 27`
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