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Question
For the following, find the least number that must be added so that the resulting number is a perfect square 55078.
Solution
55078
| 234 | |
| 2 | 55078 4 |
| 43 | 150 129 |
| 464 | 2178 1856 |
| 322 |
Taking square root of 55078, we find that 322 has been left
We see that 55078 is greater than (234)2
On adding the required number to 55078, we get (235)2 i.e., 55225
Required number = 55225 – 55078 = 147
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