# Rational or Irrational Calculator

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.

For example,

4/5, 2/3

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.

For example,

√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.”