0
Add your answer:
Earn +20 pts
Are perfect squares all rational numbers?
Yes.
Are all square roots rational numbers?
No, not all square roots are rational numbers. A rational number is a number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. Square roots that are perfect squares, such as √4 or √9, are rational numbers because they can be expressed as whole numbers. However, square roots of non-perfect squares, such as √2 or √3, are irrational numbers because they cannot be expressed as a simple fraction.
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.
What numbers always have an even number of factors?
All positive integers which are not perfect squares.
What if a number not a perfect square?
It does not matter! There are more numbers that are not perfect squares than there are perfect squares and the universe has not ground to a screeching halt!
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
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 all non-perfect squares irrational?
No. 1.5^2 = 2.25 is rational.
Are perfect squares rational numbers?
Yes, they are.
Are all square roots are irrational numbers?
No. The square roots of perfect squares are rational.
Are non perfect squares irrational?
No. 2.25 is not a perfect square but it is rational.
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.
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.
Are perfect squares and cubes rational numbers?
Yes. In fact, they are integers.
What is a rational numbers whose square roots are whole numbers?
They are perfect squares.
Do all square roots of perfect squares are rational numbers?
Yes. Not only that, they are counting numbers.
