(i) 396 can be factorised as follows.
2 |
396 |
2 |
198 |
3 |
99 |
3 |
33 |
11 |
11 |
|
1 |
396 = 2 x 2 x 3 x 3 x 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 x 2 x 3 x 3
∴ √36 = 2 x 3 = 6
(ii) 2645 can be factorised as follows.
2645 = 5 x 23 x 23
Here, prime factor 5 does not have its pair. If we divide this number by 5, then the number will become a perfect square. Therefore, 2645 has to be divided by 5 to obtain a perfect square.
2645 ÷5 = 529 is a perfect square
529 = 23 x 23
∴ √529 = 23