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Question
Find the least number which must be added to 5483 so that the resulting number is a perfect square.
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Solution
Clearly, 5483 is greater than 742
| 74 | |
| 7 | 5483 49 |
| 144 | 583 576 |
| 7 |
∴ On adding the required number to 5483, we shall be getting 752 i.e. 5625.
Hence, the required number = 5625 - 5483
= 142
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