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Question
Find the least number which must be added to 1205 so that the resulting number is a perfect square.
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Solution
Clearly, 1205 is greater than 342
| 34 | |
| 3 | `bar(12) bar(05)` 9 |
| 64 | 305 256 |
| 49 |
∴ On adding the required number to 1205, we shall be getting 352 i.e., 1225
∴ The required number = 1225 - 1205 = 20
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