square root


Definition of square root

: a factor of a number that when squared gives the number the square root of 9 is ±3

Examples of square root in a Sentence

The square root of 9 is 3.
Recent Examples on the Web This allows guessing the value a by starting with the square root of N and then incrementing the guess by one each round. Dan Goodin, Ars Technica, 14 Mar. 2022 If the primes are close then a is close to the square root of N. Dan Goodin, Ars Technica, 14 Mar. 2022 Similarly, a root of x2 − 2, the square root of 2, is formed using the eighth roots of unity. Quanta Magazine, 25 May 2021 One of the most surprising and important mathematical findings is the irrationality of the square root of 2 (√2)—the length of the diagonal of a square with sides that are one unit long. Jean-paul Delahaye, Scientific American, 28 Apr. 2021 But since many attributes of high-dimensional shapes grow exponentially as the dimension grows, a square root’s worth of growth is modest by comparison. Quanta Magazine, 1 Mar. 2021 Imagine trying to puzzle out a square root by hand rather than using a calculator—the computing power majorly boosts your chances of success. Caroline Delbert, Popular Mechanics, 5 Apr. 2021 There are two kinds of numbers, rational (numbers that can be expressed as the division of two integers), like 13/20 or 0, and irrational (numbers that cannot), like the square root of 2. Kevin Fisher-paulson, San Francisco Chronicle, 23 Mar. 2021 Math has many important constants that give the discipline structure, like pi and i, the imaginary number equal to the square root of -1. Avery Thompson, Popular Mechanics, 2 Mar. 2021 See More

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'square root.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of square root

1557, in the meaning defined above

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Time Traveler for square root

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The first known use of square root was in 1557

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Dictionary Entries Near square root

square rod

square root

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Statistics for square root

Last Updated

27 Apr 2022

Cite this Entry

“Square root.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/square%20root. Accessed 16 May. 2022.

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More Definitions for square root

square root


Kids Definition of square root

: a number that when multiplied by itself equals a specified number The square root of 9 is 3.

More from Merriam-Webster on square root

Nglish: Translation of square root for Spanish Speakers

Britannica English: Translation of square root for Arabic Speakers

Britannica.com: Encyclopedia article about square root


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