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Question
Find the square root of the following number by the prime factorisation method.
1764
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Solution
1764 can be factorised as follows:
| 2 | 1764 |
| 2 | 882 |
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
1764 = 2 × 2 × 3 × 3 × 7 × 7
∴ `sqrt(1764)` = 2 × 3 × 7 = 42
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