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1 mark

Which least number should be subtracted from 5825 to make it a perfect square?

  1. A
    48
  2. B
    42
  3. C
    49
  4. D
    46

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).

Practice this question

Try it yourself before checking the explanation above.

Which least number should be subtracted from 5825 to make it a perfect square?
A
48
B
42
C
49
D
46

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