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Question
By splitting into prime factors, find the square root of 396900.
Solution
`sqrt(396900)`
= `sqrt(bar(2 xx 2) xx bar(3 xx 3) xx bar(3 xx 3) xx bar(5 xx 5) xx bar(7 xx 7)`
= 2 x 3 x 3 x 5 x 7 = 630
| 2 | 396900 |
| 2 | 198450 |
| 3 | 99225 |
| 3 | 33075 |
| 3 | 11025 |
| 3 | 3675 |
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 |
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