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A square number is a number which is an integer squared:14916253649648110011 squared is 121, which is outside of the desired range.
160 is exactly in the middle of 110 and 210.
There are infinitely many numbers on either side of sqrt(110) and these can come as close to 110 as you chose. For example, 10.48 and 10.49. Or better still, 10.488088 and 10.488089. You could keep going. It is not enough to specify that you meant integers rather than numbers. Because, knowing that 100 and 121 are perfect squares, we can say that 100 < 110 < 121 Taking square roots gives -11 < sqrt(110) < -10 or 10 < sqrt(110) < 11 So you should specify "positive integers".
There are four square nubers... 49, 64, 81 & 100
The square root of 99 falls between the whole numbers 9 and 10.Because 102 = 100and 92 = 8199 is between 81 and 100, so when you square root it, it falls between 9 and 10.