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Line 1: − An '''irrational number''' is a number that cannot be expressed as the ratio of two [[integers]]. Irrational numbers together with [[rational numbers]] make up the set of [[real numbers]].+ − − 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 can never be expressed exactly using decimal notation with a finite number of digits. Instead it is common to write them using only enough significant digits to solve the problem at hand, followed by an ellipsis: − − :pi equals 3.1415926... − − For many purposes, a good approximation of pi is: − − 355 / 113 = 3.1415929... − − ==Formulations== − An irrational number is the limit of a [[sequence]] of rational numbers. − − ==See also== − [[Transcendental numbers]] − [[category:mathematics]]
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#REDIRECT [[Irrational number]]