Because numbers are infinite, there is an infinite number of answers.
e.g. What number should be added to 2 to make a perfect square?
2+2=4 (a perfect square)
2+7=9 (a perfect square)
2+14=16 (a perfect square)
2+23=25 (a perfect square)
etc...
Did you have a specific number in mind.
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Here is how you can calculate that.* Take the square root of your number.
* Round that up to the nearest integer. That's your perfect square.
* Subtract that number, minus your number, to find out how much you need to add.
It is: 64 because the square root of 1089 is 33
(Y2 + Y) added to (Y + 1) will always give a perfect square [of (Y + 1)2].
sqrt(81180) = 284.9 So the next square is 285. 2852 = 81225 so need to add 45
35, which makes 66 squared.
The answer is 19.