Select the operator and enter the required values to identify a number using a rational or irrational calculator.
A rational number calculator is an online tool that identifies the given number as rational or irrational. It takes the numerator and denominator to check a fraction, index value, and number in the case of a root value.
The rational or irrational checker tells us if a number is rational or irrational and shows the simplified value of the given fraction.
What is a rational number?
Rational number is a number that can be expressed as the ratio of two integers. Generally, it’s written in the form of p/q where the condition must be q ≠ 0.
All integers, whole numbers, and even and odd numbers are rational numbers. This is because integer numbers are considered of having a denominator of 1.
3 = 3/1
What is an irrational number?
An irrational number is a number that cannot express the ratio between two numbers. We can say that the numbers that are not divisible to the simplest form are considered an irrational numbers.
√7, 54.72410, π
How to identify a rational and irrational number?
The following conditions should be followed to identify a rational or irrational number.
|Conditions for rational number||Conditions for Irrational number|
|It is written in the form of “p/q” and the q is not equal to 0 (q ≠ 0).||The square roots that are not perfectly square to any of the integers e.g. √8, √20.|
|The p/q value can be further shortened through division and it can be converted into the decimal form||The decimals that don’t stop or repeat are an irrational numbers.|
|The set of rational numbers can include positive, and negative integers and zero which it can be written in a fraction.||“π”, which is also known as the “pie.”|
If you don’t want to dive into these conditions to check a number, use our rational and irrational numbers calculator above.
Is the square root of a number a rational number?
The square root of a number can be a rational or irrational number depending on the condition and the number.
If the square root is a perfect square, then it would be a rational number. On the other side, if the square root of the number is not perfect, it will be an irrational number. i.e., √10 = 3.16227766017.
|Is 0 a rational number||Yes|
|is 3/5 a rational or irrational number||Rational|
|is 6.7234724 irrational||Yes|
|is 3.587 a rational or irrational number||Rational|
|is 2.72135 rational or irrational||Rational|
|3.587 rational or irrational||Rational|
|is 0.684 a rational number||Yes|
|is 3.587 a rational number||Yes|
|is 0.1875 a rational number||Yes|
|Is 74.721 a rational number?||Yes|
|Is 1.345 a rational number?||Yes|
|is 6.5 rational or irrational||Rational|
|is 21.989 an irrational number||Yes|
|Is 3.444 a rational number?||Yes|
|Is 2.3333 a rational number?||Yes|
|Is 5 a rational number||Yes|
|Is 2 a rational number||Yes|
|is 1/2 a rational number||Yes|
|is 5/2 rational or irrational||Rational|
|Is 4.567 a rational number?||Yes|