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(Y2 + Y) added to (Y + 1) will always give a perfect square [of (Y + 1)2].
It is: 64 because the square root of 1089 is 33
35, which makes 66 squared.
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.
you can multiply two whole numbers together to get that. if you use graph paper, you could make a perfect square. the area of that square is called a perfect square because you can make a perfect square using that many units as the area. for example 4x4=16, so 16 would be the perfect square.