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Question
Find the square root of the following number by the prime factorisation method.
8100
Solution
8100 can be factorised as follows:
| 2 | 8100 |
| 2 | 4050 |
| 3 | 2025 |
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
8100 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5
∴ `sqrt(8100) = 2 xx 3 xx 3 xx 5 = 90`
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