Advertisements
Advertisements
Question
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
Advertisements
Solution
The square root of 1825 can be calculated by long division method as follows.
| 42 | |
| 4 | `bar18 bar25` -16 |
| 82 | 225 -164 |
| 61 |
The remainder is 61.
Clearly, 422 = 1764 < 1825
432 = 1849 > 1825
The number that should be added is 1849 - 1825 = 24, and the square root of 1849 is 43.
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by division method.
2304
Find the square root of the following number by division method.
3481
Find the square root of the following number by division method.
576
Find the number of digits in the square root of the following numbers (without any calculation).
4489
Find the square root the following by prime factorization.
1156
Find the square root the following by long division method:
974169
Find the square root the following by long division method:
82264900
Which of the following numbers will not have 1 (one) at their unit’s place :
(i) 322
(ii) 572
(iii) 692
(iv) 3212
(v) 2652
Find the square root by long division method
11025
By what smallest number should 216 be divided so that the quotient is a perfect square. Also find the square root of the quotient.
