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- In [[mathematics]], an '''irrational number''' is any [[real number]] that is not a [[rational number]], i.e. it cannot ...It is possible to demonstrate that <math>\scriptstyle\sqrt{2}</math> is an irrational number.4 KB (666 words) - 11:23, 3 October 2009
- 12 bytes (1 word) - 21:24, 3 November 2007
- 127 bytes (22 words) - 11:47, 29 November 2008
- 224 bytes (27 words) - 11:52, 29 November 2008
Page text matches
- Transcendental numbers are necessarily [[irrational number|irrational]], but there are many irrational numbers that are not transcende875 bytes (130 words) - 12:27, 8 May 2008
- An [[irrational number|irrational]] [[mathematical constant]] — equal to (1+√5)/2, or appr254 bytes (29 words) - 02:13, 10 September 2009
- #REDIRECT[[irrational number]]30 bytes (3 words) - 17:22, 27 July 2007
- {{r|Irrational number}}258 bytes (33 words) - 02:29, 8 February 2009
- In [[mathematics]], an '''irrational number''' is any [[real number]] that is not a [[rational number]], i.e. it cannot ...It is possible to demonstrate that <math>\scriptstyle\sqrt{2}</math> is an irrational number.4 KB (666 words) - 11:23, 3 October 2009
- ...real numbers such that the difference of any two members of the set is an irrational number and any real number is the sum of a rational number and a member of the set212 bytes (39 words) - 20:45, 4 September 2009
- {{r|Irrational number}}564 bytes (72 words) - 16:08, 11 January 2010
- {{r|Irrational number}}1 KB (169 words) - 19:54, 11 January 2010
- — "[[rational number|rational]]", "[[irrational number|irrational]]", and "[[real number|real]]" — are.3 KB (468 words) - 17:28, 1 January 2010
- {{r|Irrational number}}590 bytes (73 words) - 16:38, 11 January 2010
- ...y 1.4142135623730950488016887242097. It provides a typical example of an [[irrational number]].2 KB (307 words) - 04:13, 14 October 2010
- {{r|Irrational number}}2 KB (247 words) - 17:28, 11 January 2010
- ...is a [[constant]] [[real number]] equal to 2.71828 18284 59045 23536.... [[Irrational number|Irrational]] and [[transcendental number|transcendental]], ''e'' is the bas In 1737, [[Leonhard Euler]] proved that ''e'' is an [[irrational number]]<ref name="maor_37">Eli Maor, ''e: The Story of a Number'', Princeton Univ3 KB (527 words) - 12:19, 16 March 2008
- Every irrational number has a unique representation by a [[continued fraction]]2 KB (252 words) - 11:44, 2 December 2010
- {{r|Irrational number}}607 bytes (78 words) - 06:51, 22 January 2010
- {{r|Irrational number}}636 bytes (82 words) - 19:49, 11 January 2010
- ...ent times, it was not until the 18th century that it was proved to be an [[irrational number]].2 KB (325 words) - 06:31, 15 September 2009
- ...bstract mathematical fields, such as [[algebra]] and [[number theory]]. An irrational number can not be written as a fraction, and can indeed not be written out fully a11 KB (1,701 words) - 20:07, 1 July 2021
- A [[real number]] that is not a rational number is called an [[irrational number]].9 KB (1,446 words) - 08:52, 30 May 2009
- Thus it easily follows that for every positive irrational number <math>\ x</math> there exists a pair of neighbors <math>\frac{a :* let <math>\ x</math> be an irrational number such that <math>\frac{a}{c}\ >\ x\ >\ \frac{b}{d};</math> the35 KB (5,836 words) - 08:40, 15 March 2021
- ...ers have degree greater than <math>\ 1.</math> Note that there are real [[irrational number]]s that are not algebraic (i.e. that are transcendental), such as [[pi]] an7 KB (1,145 words) - 00:49, 20 October 2013
- A real number may be either [[rational number|rational]] or [[irrational number|irrational]]; either [[algebraic number|algebraic]] or [[transcendental num ...reece|Greek]] mathematicians led by [[Pythagoras]] realized the need for [[irrational number]]s in particular the irrationality of the [[square root of two]].19 KB (2,948 words) - 10:07, 28 February 2024
- ...including both [[Negative and non-negative numbers|negative]] as well as [[irrational number|irrational]] roots.8 KB (1,117 words) - 08:22, 5 December 2011
- ...al uncertainty, but is a consequence of the impossibility of expressing an irrational number with a finite number of decimal figures. Despite the sometimes used name of4 KB (634 words) - 19:28, 14 October 2021
- Pi is an ''[[irrational number]]'', which means that it cannot be expressed exactly as a ratio of integers15 KB (2,275 words) - 19:45, 1 September 2020
- *<math>\mathbb{F}</math>, the set of [[irrational number|irrational numbers]]17 KB (2,828 words) - 10:37, 24 July 2011
- ...has the form of a fraction but actually represents division by or into an irrational number is sometimes called an "irrational fraction". A common example found in [[T21 KB (3,089 words) - 10:08, 28 February 2024
- ...ns did not discriminate between the [[rational number|rational]] and the [[irrational number|irrational]] numbers, since they did not convert into decimals. This meant15 KB (2,247 words) - 10:12, 28 February 2024
- ...an equal footing—[[natural number]]s, roots (the majority of which are [[irrational number]]s), and negative numbers. He did not accept [[complex number]]s.8 KB (1,266 words) - 03:23, 27 April 2010
- The [[irrational number|irrationality]] of <math>\scriptstyle \sqrt{2}</math> is credited to27 KB (4,383 words) - 08:05, 11 October 2011