Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
2028 can be factorised as follows:
| 2 | 2028 |
| 2 | 1014 |
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
2028 = 2 × 2 × 3 × 13 × 13
Here, prime factor 3 does not have its pair. If 3 gets a pair, then the number will become a perfect square. Therefore, 2028 has to be multiplied with 3 to obtain a perfect square.
Therefore, 2028 × 3 = 6084 is a perfect square.
2028 × 3 = 6084 = 2 × 2 × 3 × 3 × 13 × 13
∴ `sqrt(6084)` = 2 × 3 × 13 = 78
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
7744
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
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.
396
Find the smallest square number that is divisible by each of the numbers 4, 9, and 10.
Write true (T) or false (F) for the following statement.
The number of digits in a square number is even.
Find the square rootthe following by prime factorization.
11664
Write the prime factorization of the following number and hence find their square root.
7744
Examine if the following is a perfect square.
841
Find the square root by prime factorisation method
256
If `root(3)(1906624) xx sqrt(x)` = 3100, find x
