Which least number should be subtracted from 5825 to make it a perfect square?
- A48
- B42
- C49
- D46
Solution & Step-by-step Explanation
Let's find the closest perfect square near 5825.
We know that:
70
2
=4900
80
2
=6400
Let's check numbers between 70 and 80:
75
2
=5625
76
2
=5776
77
2
=5929
The largest perfect square less than or equal to 5825 is 76
2
=5776.
To find the least number to be subtracted:
Remainder=5825−5776=49
Thus, 49 must be subtracted from 5825 to make it a perfect square (5776).
We know that:
70
2
=4900
80
2
=6400
Let's check numbers between 70 and 80:
75
2
=5625
76
2
=5776
77
2
=5929
The largest perfect square less than or equal to 5825 is 76
2
=5776.
To find the least number to be subtracted:
Remainder=5825−5776=49
Thus, 49 must be subtracted from 5825 to make it a perfect square (5776).