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Question
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
396
Solution
396 can be factorised as follows:
| 2 | 396 |
| 2 | 198 |
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
396 = 2 × 2 × 3 × 3 × 11
Here, prime factor 11 does not have its pair.
If we divide this number by 11, then the number will become a perfect square. Therefore, 396 has to be divided by 11 to obtain a perfect square.
396 ÷ 11 = 36 is a perfect square.
36 = 2 × 2 × 3 × 3
∴ `sqrt(36)` = 2 × 3 = 6
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