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An '''irrational number''' is a number that cannot be expressed as the ratio of two [[integers]]. Irrational numbers together with [[rational number]]s make up the set of [[real numbers]].
An '''irrational number''' is a [[real number]] that cannot be expressed as the ratio of two [[integers]].
Irrational numbers often arise as solutions to problems involoving rational numbers. For example, the square root of 2 is irrational. Other irrationals, such as [[pi]], serve as fundamental constants in many mathematical problems.
Irrational numbers often arise as solutions to problems involoving rational numbers. For example, the square root of 2 is irrational. Other irrationals, such as [[pi]], serve as fundamental constants in many mathematical problems.