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Question
Find the square root of the following number by the prime factorisation method.
400
Solution
400 can be factorised as follows:
| 2 | 400 |
| 2 | 200 |
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
400 = 2 × 2 × 2 × 2 × 5 × 5
So, `sqrt400 = 2 xx 2 xx 5 = 20`
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