irrational number
noun
: a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers
Examples of irrational number in a Sentence
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With what exactitude must, say, the square root of 2 (an irrational number that enters into many of the relevant quantum operations) be experimentally realized?
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IEEE Spectrum, 15 Nov. 2018
Pi as a Rational Number So is there any number base in which pi is not an irrational number?
—Rhett Allain, WIRED, 14 Mar. 2024
The notion that raising an irrational number to multiple powers could result in a number with no numbers after the decimal point may seem far-fetched at first.
—Manon Bischoff, Scientific American, 24 Jan. 2024
His name is Techno Mechanicus Musk, but his parents call him Tau, for the irrational number.
—Jill Lepore, The New Yorker, 11 Sep. 2023
See All Example Sentences for irrational number
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IEEE Spectrum, 15 Nov. 2018
Pi as a Rational Number So is there any number base in which pi is not an irrational number?
—Rhett Allain, WIRED, 14 Mar. 2024
The notion that raising an irrational number to multiple powers could result in a number with no numbers after the decimal point may seem far-fetched at first.
—Manon Bischoff, Scientific American, 24 Jan. 2024
His name is Techno Mechanicus Musk, but his parents call him Tau, for the irrational number.
—Jill Lepore, The New Yorker, 11 Sep. 2023
See All Example Sentences for irrational number
Cite this Entry
“Irrational number.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/irrational%20number. Accessed 6 Mar. 2025.
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