Find the smallest number which must be added to 2300

Question:

Find the smallest number which must be added to 2300 so that it becomes a perfect square.

Solution:

To find the square root of 2300, we use the long division method:

23000 is 4 (704 − 700) less than 482. Hence, 4 must be added to 2300 to get a perfect square.

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