An irrational number is a real number that cannot be expressed as a simple fraction or ratio of two integers.
Unlike rational numbers, which can be represented as fractions, irrational numbers have non-repeating, non-terminating decimal expansions.
Examples of irrational numbers include the square root of 2 (√2), the mathematical constant π (pi), and the base of the natural logarithm, e.
These numbers go on infinitely without repeating patterns and cannot be precisely expressed as a fraction. Irrational numbers have significant applications in mathematics and are essential for modeling various natural phenomena.