No. From 64 to 81 is a vast wasteland
with no whole-number squares.
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The square root of 110 is an irrational number and so it cannot be any two whole numbers.
Yes, there are an infinite number of decimal points between any two consecutive whole numbers.
The square roots of 82 are -9.055 and 9.055. So two consecutive whole numbers that lie between the square roots of 82 are any consecutive numbers from the set {-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
-- Every whole number is a rational number. -- Any whole number divided by any whole number (except zero) produces a rational number.