Advertisements
Advertisements
Question
Find the least number which must be subtracted from 2037 so that the resulting number is a perfect square.
Advertisements
Solution
Clearly; if 12 is subtracted from 2037, the remainder will be a perfect square.
∴ 2037 - 12 = 2025 and `sqrt(2025)` = 45
| 45 | |
| 4 | 2037 16 |
| 85 | 437 425 |
| 12 |
The least number is 12, which must be subtracted from 2037 to make the resulting number a perfect square.
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by division method.
3136
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.
1750
Find the squares of the following numbers using the identity (a + b)2 = a2 + 2ab + b2:
405
Find the squares of the following number using the identity (a + b)2 = a2 + 2ab + b2:
510
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
395
Find the square root the following by long division method:
20421361
Find the square root the following by long division method:
62504836
Find the least number which must be subtracted from the following numbers to make them a perfect square:
26535
Find the square root of the following by long division method.
5625
Find the square root of the following by long division method.
1.44
