# What is an irrational number in math?

The irrational numbers cannot be expressed as a simple fraction in the form of p/q where p and q are real numbers and q is not equal to 0.

## Answer: Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios. Ex: π, √2, e, √5.

Irrational numbers cannot be expressed as the ratio of two integers.

**Explanation:**

Irrational numbers are non-terminating and non-recurring decimal numbers i.e, the decimal expansion that neither terminates nor becomes periodic.

These cannot be expressed in the form of a ratio, such as p/q, where p and q are integers, and q ≠ 0. It is a contradiction of rational numbers.

Example:

- pi is an irrational number whose value is nearly 3.1415926...
- √5 and √3, etc. are irrational numbers.

### Thus, irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios.

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