Advertisements
Advertisements
प्रश्न
Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
252
Advertisements
उत्तर
The square root of 252 can be calculated by long division method as follows.
| 15 | |
| 1 | `bar2 bar52` -1 |
| 25 | 152 -125 |
| 27 |
The remainder is 27.
Clearly, 152 = 225 < 252
162 = 256 > 252
∴ The number to be added is 256 − 252 = 4
and the square root of 256 is 16.
संबंधित प्रश्न
Find the square root of the following number by division method.
2304
Find the square root of the following number by division method.
7921
Find the least number that must be subtracted from the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
402
Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
1825
Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
6412
Find the squares of the following number using the identity (a + b)2 = a2 + 2ab + b2
1001
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
495
Find the square root of: `sqrt(108 xx 2028)`
Seeing the value of the digit at unit’s place, state which of the following can be square of a number :
(i) 3051
(ii) 2332
(iii) 5684
(iv) 6908
(v) 50699
Find the greatest number of three digits that is a perfect square.
