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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.
2925
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Solution
2925 can be factorised as follows.
| 3 | 2925 |
| 3 | 975 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
2925 = 3 × 3 × 5 × 5 × 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 × 3 × 5 × 5
∴ `sqrt225` = 3 × 5 = 15
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