(i) 252 can be factorised as follows.
2 |
252 |
2 |
126 |
3 |
63 |
3 |
21 |
7 |
7 |
|
1 |
252 = 2 x 2 x 3 x 3 x 7
Here, prime factor 7 does not have its pair, If we divide this number by 7, then the number will become a perfect square. Therefore, 252 has to be divided by 7 to obtain a perfect square.
252 ÷7 = 36 is a perfect square.
36 = 2 x 2 x 3 x 3
∴ √36 = 2 x 3 = 6
(ii) 2925 can be factorised as follows.
3 |
2925 |
3 |
975 |
5 |
325 |
5 |
65 |
13 |
13 |
|
1 |
2925 = 3 x 3 x 5 x 5 x 13
Here, prime factor 13 does not have its pair. If we divide this number by 13, then the number will become a perfect square. Therefore, 2925 has to be divided by 13 to obtain a perfect square.
2925 ÷13 = 225 is a perfect square.
225 = 3 x 3 x 5 x 5
∴ √225 = 3 x 5 = 15