Advertisements
Advertisements
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
Advertisements
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
APPEARS IN
RELATED QUESTIONS
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
2028
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
2904
By just examining the unit digis, can you tell which of the following cannot be whole squares?
1028
Find the smallest number by which 180 must be multiplied so that it becomes a perfect square. Also, find the square root of the perfect square so obtained.
Find the smallest number by which 3645 must be divided so that it becomes a perfect square. Also, find the square root of the resulting number.
A welfare association collected Rs 202500 as donation from the residents. If each paid as many rupees as there were residents, find the number of residents.
Find the square roots of 121 and 169 by the method of repeated subtraction.
Find the square root by prime factorisation method
1156
1000 is a perfect square.
Find the smallest square number divisible by each one of the numbers 8, 9 and 10.
