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Question
Find the square root by prime factorisation method
1156
Solution
1156 = 2 × 2 × 17 × 17
1156 = 22 × 172
1156 = (2 × 17)2
∴ `sqrt(1156) = sqrt((2 xx 17)^2` = 2 × 17 = 34
∴ `sqrt(1156)` = 34
| 2 | 1156 |
| 2 | 578 |
| 17 | 289 |
| 17 | 17 |
| 1 |
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