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
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
400
Find the square root of the following number by the prime factorisation method.
8100
By just examining the unit digit, can you tell which of the following cannot be whole square?
1022
Write true (T) or false (F) for the following statement .
There is no square number between 50 and 60.
Find the square rootthe following by prime factorization.
11664
Find the square root the following by prime factorization.
190969
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.
Write the prime factorization of the following number and hence find their square root.
9604
Is 90 a perfect square?
