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.
396
Advertisements
उत्तर
396 can be factorised as follows:
| 2 | 396 |
| 2 | 198 |
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
396 = 2 × 2 × 3 × 3 × 11
Here, prime factor 11 does not have its pair.
If we divide this number by 11, then the number will become a perfect square. Therefore, 396 has to be divided by 11 to obtain a perfect square.
396 ÷ 11 = 36 is a perfect square.
36 = 2 × 2 × 3 × 3
∴ `sqrt(36)` = 2 × 3 = 6
APPEARS IN
संबंधित प्रश्न
Find the smallest square number that is divisible by each of the numbers 4, 9, and 10.
Find the smallest square number that is divisible by each of the numbers 8, 15, and 20.
Find the square root the following by prime factorization.
4096
Find the square root the following by prime factorization.
24336
A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.
Examine if the following is a perfect square.
841
Find the square root by prime factorisation method
1156
1000 is a perfect square.
Using prime factorisation, find which of the following are perfect squares.
841
