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Question
Find the square root of: `sqrt(108 xx 2028)`
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Solution
`sqrt(108 xx 2028)`
= `sqrt(219024)`
| 468 | |
| 4 | 219024 16 |
| 86 | 590 516 |
| 928 | 7424 7424 |
| x |
Hence, `sqrt(108 xx 2028)` = 468
OR
`sqrt(108 xx 2028)`
| 2 | 108 |
| 2 | 54 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
| 2 | 2028 |
| 2 | 1014 |
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
= `sqrt(2 xx 2 xx 3 xx 3 xx 3 xx 3 xx 2 xx 2 xx 13 xx 13)`
= 2 × 3 × 3 × 2 × 13
= 468
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