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Question
Find the square root of the following number by the prime factorisation method.
9604
Solution
9604 can be factorised as follows:
| 2 | 9604 |
| 2 | 4802 |
| 7 | 2401 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
9604 = 2 × 2 × 7 × 7 × 7 × 7
∴ `sqrt(9604)` = 2 × 7 × 7 = 98
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