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Question
Find the least number that 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.
402
Solution
The square root of 402 can be calculated by the long division method as follows:
| 20 | |
| 2 | `bar4 bar02` -4 |
| 40 | 02 -00 |
| 2 |
The remainder is 2. It represents that the square of 20 is less than 402 by 2. Therefore, a perfect square will be obtained by subtracting 2 from the given number 402.
Therefore, required perfect square = 402 − 2 = 400
And `sqrt400` = 20
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