Difference between revisions of "Irrational numbers"

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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 numbers]] make up the set of [[real numbers]].
+#REDIRECT [[Irrational number]]
-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:
-/ 113 = 3.1415929...
-==Formulations==
-An irrational number is the limit of a [[sequence]] of rational numbers.
-==See also==
-[[Transcendental numbers]]
-[[category:mathematics]]