Natural numbers are the numbers used to count things 1, 2, 3, 4.... Etc. There is some debate if zero should be included with the natural numbers. They are also used to order things first, second, third etc. "The box contains 20 apples" would be an example of natural number usage.
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There is some disagreement as to whether zero, a whole number, belongs to the set of natural numbers.
it depends on the number, for example the square root of nine is a natural number. it's 3. the square root of 3 is not a natural number. It is 1.73... and it goes on and on.
A banana. It is not even a number so it is a brilliant non-example.
How about 8 as one example
Square root of 2; square root of any natural number that is not a perfect square; the number pi; the number e.