Advertisements
Advertisements
प्रश्न
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.
2800
Advertisements
उत्तर
2800 can be factorised as follows.
| 2 | 2800 |
| 2 | 1400 |
| 2 | 700 |
| 2 | 350 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
2800 = 2 × 2 × 2 × 2 × 5 × 5 × 7
Here, prime factor 7 does not have its pair.
If we divide this number by 7, the number will become a perfect square.
Therefore, 2800 has to be divided by 7 to obtain a perfect square.
2800 ÷ 7 = 400 is a perfect square.
400 = 2 × 2 × 2 × 2 × 5 × 5
∴ `sqrt400` = 2 × 2 × 5 = 20
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
529
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.
1458
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.
768
Write five numbers which you cannot decide whether they are square just by looking at the unit's digit.
Find the square root the following by prime factorization.
190969
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.
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.
Write the prime factorization of the following number and hence find their square root.
9604
The least number by which 125 be multiplied to make it a perfect square is ______.
Using prime factorisation, find the square roots of 4761
