irrational number

An **irrational number** is a real number that cannot be expressed as a simple fraction or ratio of two integers. Unlike rational numbers, irrational numbers have non-repeating, non-terminating decimal expansions. Common examples include numbers like π (pi), √2 (the square root of 2), and Euler’s number e. In mathematics, irrational numbers play a crucial role in understanding the continuum of real numbers and are fundamental in fields such as algebra, geometry, and calculus. Use this tag for posts discussing properties, examples, and applications of irrational numbers.