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Question
Find the square root by prime factorisation method
9025
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Solution
9025 = 5 × 5 × 19 × 19
9025 = 52 × 192
9025 = (5 × 19)2
`sqrt(9025) = sqrt((5 xx 19)^2` = 5 × 19 = 95
| 5 | 9025 |
| 5 | 1805 |
| 19 | 361 |
| 19 | 19 |
| 1 |
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