Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
Find the square root of the following number by division method.
4489
Find the square root of the following number by division method.
3249
Find the square root of the following number by division method.
7921
A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
599
Find the square root the following by long division method:
6407522209
Square of which of the following numbers will not have 6 at their unit’s place :
(i) 35
(ii) 23
(iii) 64
(iv) 76
(v) 98
Which of the following numbers will have 6 at their unit’s place :
(i) 262
(ii) 492
(iii) 342
(iv) 432
(v) 2442
Find the square root by long division method
6889
Find the square root of the following by long division method.
1.44
