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The square of a positive integer?
The square of a positive number is positive. By the way, the square of a negative number is also positive.
Is the square root of 21 a rational number?
No. The square root of an integer is either an integer, or an irrational number.
Why are all the perfect squares are rational number?
A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer.Integers are rational numbers so the square [which is an integer] is a rational number.
Is negative 4.9 a rational or irrational?
-4.9 is a rational number. If a number is irrational, then it can not be expressed as a finite number of digits. A few examples of irrational numbers are: pi, the square root of any integer which is not square and the golden ratio (phi).
The square of an integer will always be an integer?
Yes. The square of an integer is just the number times itself. For any two whole numbers that are multiplied, the answer is always an integer (i.e. no decimals).
