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Question
What is the least number that should be added to 6200 to make it a perfect square?
Solution
Given: 6200
| 78 | |
| 7 | `bar62` `bar00` |
| 49 | |
| 148 | 1300 |
| 1184 | |
| 116 |
Hence, (78)2 = 6084 < 6200
Next perfect sqaure is (79)2 = 6241
Hence, the least number is (6241 – 6200 = 41), which should be added to 6200 to get a perfect square and the required perfect square number will be 6241
Then, `sqrt(6241) = sqrt(41 xx 41)` = 41
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