What is the least number to be added to 8200 to make it a perfect square (using division method)?

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answer is D.

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Detailed Solution

It is required to find the least number that should be added to 8200 to make it a perfect square.
Using the long division approach, determine the square root.
Question Image

To make 8200 a perfect square, determine which number needs to be subtracted the least.
Clearly

902 < 8200

.
Obviously, the next square number is 91, so the least number to be added to 8200 to make it a perfect square is,

⇒ 912 − 8200 = 8281 − 8200 ⇒ 81

The smallest number that has to be added to 8200 to make it a perfect square is 81.
Therefore, option 4 is correct.

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