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.
252
Advertisements
उत्तर
252 can be factorised as follows:
| 2 | 252 |
| 2 | 126 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
252 = 2 × 2 × 3 × 3 × 7
Here, prime factor 7 does not have its pair.
If 7 gets a pair, then the number will become a perfect square. Therefore, 252 has to be multiplied with 7 to obtain a perfect square.
252 × 7 = 2 × 2 × 3 × 3 × 7 × 7
Therefore, 252 × 7 = 1764 is a perfect square.
∴ `sqrt(1764)` = 2 x 3 x 7 = 42
संबंधित प्रश्न
By just examining the unit digit, can you tell which of the following cannot be whole square?
1024
By just examining the unit digit, can you tell which of the following cannot be whole square?
1023
Write true (T) or false (F) for the following statement.
The product of two square numbers is a square number.
Write true (T) or false (F) for the following statement.
No square number is negative.
Examine if the following is a perfect square.
841
Find the square root by prime factorisation method
4761
Show that 500 is not a perfect square.
Using prime factorisation, find the square roots of 11025
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
Find the smallest square number divisible by each one of the numbers 8, 9 and 10.
