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True or false If a number is the product of two perfect squares it has a rational square root?
Wiki User
∙ 12y ago
true...
Wiki User
∙ 12y ago
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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.
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
What is a number whose square root is a rational number?
It is another rational number whose numerator and denominator (in the ratio's simplest form) are perfect squares.
Which square root number is rational?
The square root of any perfect square, or a ratio of perfect squares. eg sqrt(9/25) = 3/5, is rational.
Rational numbers who square roots are whole numbers?
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
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.
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
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.
How can you tell the value of a radical is a rational number?
If the number inside the radical is a perfect square or a ratio of perfect squares.
What is the product of a rational number multiplied by itself?
It is the square of the rational number.
What is a number whose square root is a rational number?
It is another rational number whose numerator and denominator (in the ratio's simplest form) are perfect squares.
Which square root number is rational?
The square root of any perfect square, or a ratio of perfect squares. eg sqrt(9/25) = 3/5, is rational.
What are perfect square?
A perfect square is a rational number that is the square of another rational number. 9, 16, 25, etc., are perfect squares of 3, 4, 5, etc., and X2 + 6X + 9 is a perfect square of (X + 3).
Is the square root of 30 rational?
No, only perfect squares like 25 and 36, which are around 30, have a square root that is a rational number.
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.
Rational numbers who square roots are whole numbers?
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
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.
