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Question
Using prime factorisation, find the square roots of 11025
Solution
We have, 11025
| 3 | 11025 |
| 3 | 3675 |
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Now, 11025 = 3 × 3 × 5 × 5 × 7 × 7
∴ Square root of 11025
= `sqrt(11025)`
= 3 × 5 × 7
= 105
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