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Question
Find the least number which must be subtracted from 1205 so that the resulting number is a perfect square.
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Solution
Clearly, if 49 is subtracted from 1205, the number will be a perfect square.
| 34 | |
| 3 | 1205 9 |
| 64 | 305 256 |
| 49 |
∴ 1205 - 49 = 1156 = (34)2
= 49
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