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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?
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∙ 11y ago
Fusiazx
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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.).
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 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 a fraction a rational number?
Only if the square root of the numerator and the square root of the denominator are both 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.
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.
What is the rational number between square root of 29 and 45?
There are an infinite number of rational numbers between these two numbers, but the only positive integer between these numbers is 6.
Is the square root of 16 an irrational or rational number?
The square roots of 16 are +4 and -4 . They're both rational numbers.
What rational number is closest to the square root of 61.93?
The square root of 61.93 is irrational. Since rational numbers are infinitely dense there cannot be a closest rational.
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.
