Question 140860
The set of Counting Numbers is: 1, 2, 3, ...
Add zero and you have the Whole Numbers: 0, 1, 2, 3, ...
Add the negative whole numbers and you have integers: ...-3, -2, -1, 0, 1, 2, 3, ...


Any number that is a fraction that cannot be reduced to a whole number is not an integer.  Also any number that cannot be expressed as the quotient of two integers and is therefore irrational is not an integer.  For example the square root of anything that is not a perfect square (1, 4, 9, 16, ...), is irrational.


Hint:  square root 8 with a little 3 at the top means "cube root of 8", so your question is, is there an integer x such that x times x times x = 8?  If there is, {{{root(3,8)}}} is an integer, otherwise not.