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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.
What else can I help you with?
Are all perfect squares rational?
Yes
Are perfect squares all rational numbers?
Yes.
Are all square roots rational numbers?
No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.
What numbers always have an even number of factors?
All positive integers which are not perfect squares.
What do numbers 25 16 and 9 have in common?
The numbers 25, 16, and 9 are all perfect squares. A perfect square is a number that can be expressed as the product of an integer with itself. In this case, 25 is 5^2, 16 is 4^2, and 9 is 3^2.
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
Can a perfect square be a rational number?
yes it can All perfect squares are rational numbers as the definition of a perfect square is a number which is the product of an integer with itself. An integer is a rational number, and multiplying an integer by an integer produces another integer.
Are all perfect squares rational?
Yes
Are perfect squares all rational numbers?
Yes.
Is negative 90 squared... this is the one with the box around it... rational or irrational and are perfect squares rational or irrational?
-90 squared is rational - it is +8100. All perfect squares are not only rational but they are integers.
Is the square root of all rational words are rational?
The square root of a rational number is not always rational. While the square root of a perfect square (like 1, 4, or 9) is rational, the square root of non-perfect squares (like 2 or 3) is irrational. Therefore, not all square roots of rational numbers yield rational results; only those of perfect squares do.
What is an irrational number that is a perfect square?
That isn't possible. Rational numbers either terminate or have a repeating pattern, and irrational numbers are all the rest. Perfect squares terminate, therefore they are rational.
Is the number line a graph of rational numbers?
The number line includes all rational numbers but also has irrational ones. It is the REAL number line. The square root of non-perfect squares are on it and pi is also on it and they are not rational.
Is all non-perfect squares irrational?
No. 1.5^2 = 2.25 is rational.
Are all square roots are irrational numbers?
No. The square roots of perfect squares are rational.
Are all square roots rational numbers?
No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.
What numbers always have an even number of factors?
All positive integers which are not perfect squares.
