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.
1989
Advertisements
उत्तर
The square root of 1989 can be calculated by long division method as follows.
| 44 | |
| 4 | `bar19 bar89` -16 |
| 84 | 389 389 |
| 53 |
The remainder is 53. It represents that the square of 44 is less than 1989 by 53. Therefore, a perfect square will be obtained by subtracting 53 from the given number 1989.
Therefore, required perfect square = 1989 − 53 = 1936
And `sqrt(1936)` = 44
APPEARS IN
संबंधित प्रश्न
Find the number of digits in the square root of the following numbers (without any calculation).
27225
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.
3250
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
995
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:
999
Find the squares of the following numbers by visual method:
52
Write the possible unit's digits of the square root of the following numbers\. Which of these number is odd square root?
9801
Find the square root the following by long division method:
20657025
Find the square root the following by long division method:
82264900
The square root of a perfect square of n digits will have `((n + 1)/2)` digits, if n is odd.
