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Which of these numbers is classified as a rational number square root 17 square root 23 square root 9 square root 2?
square root of 9 = 3 but 2, 17 and 23 are Irrational Numbers
What else can I help you with?
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Is the square root of 13 irrational or rational?
The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.
What is an irrational number that is also rational?
Numbers are either irrational (like the square root of 2 or pi) or rational (can be stated as a fraction using whole numbers). Irrational numbers are never rational.
Which is a real number that is not a rational number?
Actually there are more irrational numbers than rational numbers. Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number. The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.
Could a a number square root be higher then the number that is being square rooted?
Not in the case of Rational Numbers -- only in Imaginary Numbers, typically referring to the imaginary component.
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Why is it that square root of 361 is rational?
The square root of 361 is rational because it can be expressed as a fraction of two integers. Specifically, the square root of 361 is 19, which is an integer. Since all integers are also rational numbers (they can be written as a fraction with a denominator of 1), the square root of 361 is classified as a rational number.
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 a nun perfect square rational?
A non-square rational number is a rational number that cannot be expressed as the square of any rational number. For example, ( \frac{2}{3} ) is a non-square rational number because there are no rational numbers whose square equals ( \frac{2}{3} ). In general, any rational number that does not have a perfect square as its numerator and denominator is considered a non-square rational.
Is the root of 144 irrational?
No, the root of 144 is not irrational. The square root of 144 is 12, which is a whole number and therefore a rational number. Rational numbers can be expressed as the quotient of two integers, and since 12 can be expressed as 12/1, it is classified as rational.
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.
Is the square root of 81 rational?
Yes. The square root of 81 is 9 - a natural number and all natural numbers are rational numbers.
Is the square root of 170 a rational number?
No. The only square roots of integers that are rational numbers only when the integer is a perfect square.
Is the square root of a fraction a rational number?
Only if the square root of the numerator and the square root of the denominator are both rational numbers.
What are all numbers than make a square?
All numbers can make a square. Every real number makes a positive real square. Every rational number makes a rational square. Every integer makes a perfect square.
What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?
The discriminant must be a perfect square or a square of a rational number.
What is the relationship of rational numbers and real number?
The set of rational numbers is a subset of the set of real numbers. That means that every rational number is a real number, but not every real number is rational. The square root of 2 is an example of a real number that isn't rational; that is, it can't be expressed as the quotient of two integers.
