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Question
Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
525
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Solution
The square root of 525 can be calculated by the long division method as follows:
| 22 | |
| 2 | `bar5 bar25` -4 |
| 42 | 125 -84 |
| 41 |
Clearly, 222 = 484 < 525
232 = 529 > 525
Hence, the number to be added is 529 - 525 = 4 and the square root of 529 is 23.
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