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Question
Find the square root of the following number by the prime factorisation method.
9216
Solution
9216 can be factorised as follows:
| 2 | 9216 |
| 2 | 4608 |
| 2 | 2304 |
| 2 | 1152 |
| 2 | 576 |
| 2 | 288 |
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
9216 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3× 3
∴ `sqrt(9216) = 2 xx 2 xx 2 xx 2 xx 2 xx 3 = 96`
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