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In general, not usually.
The square root of an irrational number is always irrational.
The square root of a rational number is usually irrational, but not always. You can tell by this test:
If both the numerator and denominator of the number expressed as a simplified fraction are perfect square numbers (a number whose square root is a whole number), then the square root of the whole fraction will be rational.
Example: Sqrt(4) =2 (the positive one). Sqrt(1) = 1. Both are perfect squares.
So sqrt(1/4) = sqrt(1)/sqrt(4) = 1/2. Another one: sqrt(4/9) = 2/3.
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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.
10 example of rational irrational numbers?
Rational numbers:1, 2, 3, 4, 5, 6, 7, 8, 9, 10Irrational numbers:square root of (2)square root of (3)square root of (5)square root of (6)square root of (7)square root of (8)square root of (10)square root of (11)square root of (12)square root of (13)
Is the square root of 47 a rational number?
'47' is a prime number, so it does not have a rational square root. sqrt(47) = 6.8556546... to 9 d.p. An irrational number which cannot be converted to a quotient; that is made into a fraction. NB The square roots of prime numbers are irrational.
Is the square root of 48 rational?
The square root of 48 is a rational or irrational
Is 2 a rational square root?
Yes, it is the principal square root of 4, and it is 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 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 are rational numbers?
Some square roots are rational but the majority are not.
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.
Why the square root of 88 rational numbers?
They are NOT rational numbers, so the question is misguided.
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.).
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.
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.
What are three rational numbers between the square root of -26 and the square root of -15?
There are no rational numbers between sqrt(-26) and sqrt(-15). The interval comprises purely imaginary numbers.
Why rational numbers require extension?
Because numbers such as pi, e and the square root of 2 are not rational.
10 example of rational irrational numbers?
Rational numbers:1, 2, 3, 4, 5, 6, 7, 8, 9, 10Irrational numbers:square root of (2)square root of (3)square root of (5)square root of (6)square root of (7)square root of (8)square root of (10)square root of (11)square root of (12)square root of (13)
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
