Advertisements
Advertisements
Question
Find the least number which must be subtracted from 1205 so that the resulting number is a perfect square.
Advertisements
Solution
Clearly, if 49 is subtracted from 1205, the number will be a perfect square.
| 34 | |
| 3 | 1205 9 |
| 64 | 305 256 |
| 49 |
∴ 1205 - 49 = 1156 = (34)2
= 49
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by division method.
1369
Find the squares of the following numbers using the identity (a + b)2 = a2 + 2ab + b2:
405
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:
286225
Find the square root the following by long division method:
363609
Find the square root the following by long division method:
9653449
Find the square root the following by long division method:
152547201
Find the square root the following by long division method:
6407522209
Find the least number which must be subtracted from the following numbers to make them a perfect square:
16160
Find the square root of the following by long division method.
1.44
