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.
2645
Advertisements
उत्तर
2645 can be factorised as follows:
| 5 | 2645 |
| 23 | 529 |
| 23 | 23 |
| 1 |
2645 = 5 × 23 × 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 × 23
∴ `sqrt529` = 23
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
9216
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.
252
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.
1620
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
25
Find the square root the following by prime factorization.
8281
Find the square rootthe following by prime factorization.
11664
Find the square root the following by prime factorization.
190969
Find the smallest perfect square divisible by 3, 4, 5 and 6.
Using prime factorisation, find the square roots of 4761
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
