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Question
Find the least number which must be subtracted from the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
3250
Solution
The square root of 3250 can be calculated by long division method as follows:
| 57 | |
| 5 | `bar32 bar50` -25 |
| 107 | 750 -749 |
| 1 |
The remainder is 1. It represents that the square of 57 is less than 3250 by 1. Therefore, a perfect square can be obtained by subtracting 1 from the given number 3250.
Therefore, required perfect square = 3250 − 1 = 3249
And `sqrt(3249)` = 57
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