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
APPEARS IN
संबंधित 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.
1008
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
Write true (T) or false (F) for the following statement.
The product of two square numbers is a square number.
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 roots of 121 and 169 by the method of repeated subtraction.
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.
By splitting into prime factors, find the square root of 396900.
Find the square root by prime factorisation method
1156
1000 is a perfect square.
Show that 500 is not a perfect square.
