yes, any positive or negative number is an integer
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Yes, 150, as with any other whole number, is an integer.
The square root (or cubic root, or fourth root, etc.) of any positive integer can only be: a) either an integer, b) or an irrational number.
There are two distinct roots of any positive integer, the absolute value and its negative equivalent. Therefore, the square roots of 150, rounded to two decimal places, are ±12.25.
the square of an integer will always be an integer
When they are added together and the absolute value of the positive integer is bigger than the absolute value of the negative integer or when the negative integer is subtracted from the positive integer.