Advertisements
Advertisements
प्रश्न
Find the least number which 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.
825
Advertisements
उत्तर
The square root of 825 can be calculated by the long division method as follows:
| 28 | |
| 2 | `bar8 bar25` -4 |
| 48 | 425 -384 |
| 41 |
The remainder is 41. It represents that the square of 28 is less than 825 by 41. Therefore, a perfect square can be calculated by subtracting 41 from the given number 825.
Therefore, required perfect square = 825 − 41 = 784
And `sqrt(784)` = 28
संबंधित प्रश्न
Find the square root of the following number by division method.
3249
Find the number of digits in the square root of the following numbers (without any calculation).
64
Find the number of digits in the square root of the following numbers (without any calculation).
144
Find the squares of the following numbers using the identity (a + b)2 = a2 + 2ab + b2:
405
Find the squares of the following numbers using the identity (a − b)2 = a2 − 2ab + b2:
498
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
99
Find the squares of the following numbers by visual method:
52
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
The square root of a perfect square of n digits will have `((n + 1)/2)` digits, if n is odd.
Find the square root of the following by long division method.
5625
