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Question
Find the least number which must be subtracted from 2037 so that the resulting number is a perfect square.
Solution
Clearly; if 12 is subtracted from 2037, the remainder will be a perfect square.
∴ 2037 - 12 = 2025 and `sqrt(2025)` = 45
| 45 | |
| 4 | 2037 16 |
| 85 | 437 425 |
| 12 |
The least number is 12, which must be subtracted from 2037 to make the resulting number a perfect square.
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