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 “” and the p/q is not equal to 0 (q ≠ 0).q |
The square roots that are not perfectly square to any of the integers e.g. √8, √20. |

The value can be further shortened through division and it can be converted into the decimal formp/q |
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.

**Examples:**

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 |