a number that cannot be exactly expressed as a ratio of two integers.
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How to use irrational number in a sentence
This is because there are way more irrational numbers than rational numbers.The Coach Who Led the U.S. Math Team Back to the Top | Max G. Levy | February 16, 2021 | Quanta Magazine
So what’s kind of funny is that you didn’t provide me a number — an irrational number — that is actually the most common kind of number there is.The Coach Who Led the U.S. Math Team Back to the Top | Max G. Levy | February 16, 2021 | Quanta Magazine
In that theory an irrational number was the ratio of two incommensurable geometric magnitudes.
The widened idea is that even when a or x is an irrational number we may speak of a or x unit lengths by measure.
British Dictionary definitions for irrational number
any real number that cannot be expressed as the ratio of two integers, such as π
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Scientific definitions for irrational number
A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, an irrational number would have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Cultural definitions for irrational number
The New Dictionary of Cultural Literacy, Third Edition Copyright © 2005 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.