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Question
Find the square root by prime factorisation method
4761
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Solution
4761 = 3 × 3 × 23 × 23
4761 = 32 × 232
4761 = (3 × 23)2
`sqrt(4761) = sqrt((3 xx 23)^2`
`sqrt(4761)` = 3 × 23
`sqrt(4761)` = 69
| 3 | 4761 |
| 3 | 1587 |
| 23 | 529 |
| 23 | 23 |
| 1 |
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