imaginary number

noun

: a complex number (such as 2 + 3i) in which the coefficient of the imaginary unit is not zero

called also imaginary

compare pure imaginary

Examples of imaginary number in a Sentence

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Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
Perplexity at least plugged some totally imaginary numbers into its formula and gave it a guess, speculating that … The likelihood of hitting the top of that foul pole worked out to one in every one million balls hit. Jayson Stark, New York Times, 8 May 2026 Then, in 2021, the role of imaginary numbers in quantum theory attracted newfound interest. Daniel Garisto, Quanta Magazine, 7 Nov. 2025 This means they are made of both real numbers and the imaginary number i: the square root of negative 1. William Ross, The Conversation, 10 Mar. 2025 Other rings of integers can be built out of sets of numbers that include, say, the square root of −1 (the imaginary number that mathematicians call i), or the cube root of 2. Joseph Howlett, WIRED, 9 Mar. 2025 There’s imaginary numbers and abstract theoretical math. The Editors, JSTOR Daily, 24 Jan. 2024

Word History

First Known Use

1798, in the meaning defined above

Time Traveler
The first known use of imaginary number was in 1798

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Cite this Entry

“Imaginary number.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/imaginary%20number. Accessed 4 Jun. 2026.

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