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.
6412
Advertisements
Solution
The square root of 6412 can be calculated by the long division method as follows:
| 80 | |
| 8 | `bar64 bar12` -64 |
| 160 | 012 00 |
| 12 |
The remainder is 12.
Clearly, 802 = 6400 < 6412
812 = 6561 > 6412
The number that should be added is 6561 − 6412 = 149, and the square root of 6561 is 81.
RELATED QUESTIONS
Find the square root of the following number by division method.
3136
Find the number of digits in the square root of the following numbers (without any calculation).
390625
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 length of the side of a square whose area is 441 m2.
Write the possible unit's digits of the square root of the following number. Which of these number is odd square root?
99856
Find the square root the following by long division method:
363609
Find the square root of each of the following by long division method:
4008004
Find the square root the following by long division method:
152547201
Find the square root of: `sqrt(108 xx 2028)`
By what smallest number should 216 be divided so that the quotient is a perfect square. Also find the square root of the quotient.
