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Line 1: − 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 involving 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 (…): − − :<math>\pi\ = 3.1415926...</math> − − ==See also== − − [[Transcendental numbers]] − − [[Category:mathematics]]
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