0
Add your answer:
Earn +20 pts
Are all perfect squares rational?
Yes
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.
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.
Are all rational numbers whole numbers?
All rational numbers are not whole numbers, as rational numbers can include fractions.
Are all square roots are irrational numbers?
No. The square roots of perfect squares are rational.
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.
Do all square roots of perfect squares are rational numbers?
Yes. Not only that, they are counting numbers.
Are all perfect squares rational?
Yes
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 no perfect squares whole numbers?
By definition, ALL perfect squares are whole numbers!
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 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 89.1212121 rational or irrational?
All terminating and repeating numbers are rational.the square root of non perfect squares and pi are irrational.
Can you write every integer as the sum of two nonzero perfect squares?
No.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theoremNo.First of all, you can't write negative numbers as sums of perfect squares at all - since all perfect squares are positive.Second, for natural numbers (1, 2, 3...) you may need up to 4 perfect squares: http://en.wikipedia.org/wiki/Lagrange's_four-square_theorem
Is all non-perfect squares irrational?
No. 1.5^2 = 2.25 is rational.
