How to Use square root in a Sentence

square root

noun
  • The square root of 9 is 3.
  • If the primes are close then a is close to the square root of N.
    Dan Goodin, Ars Technica, 14 Mar. 2022
  • They were shocked when a member of their school proved that the square root of 2 is not.
    Erica Klarreich, Quanta Magazine, 8 Jan. 2025
  • The square root of a number x is a value y such that when y is squared the value is x.
    Lance Eliot, Forbes, 20 Feb. 2025
  • We weight polls using a function that involves the square root of its sample size.
    G. Elliott Morris, ABC News, 9 Oct. 2023
  • This is due to Price’s Law, which is also known as Price’s square root law.
    Adam Fayed, Forbes, 11 Dec. 2024
  • Ullisch’s solution is not something simple like the square root of 2.
    Quanta Magazine, 9 Dec. 2020
  • Taking the square root of −1 led to an entirely new system of arithmetic.
    Quanta Magazine, 18 Nov. 2020
  • Suppose the calculator app wasn’t devised to do square roots.
    Lance Eliot, Forbes, 17 July 2023
  • The golden ratio, meanwhile, can be written as one-half of the sum of 1 plus the square root of 5.
    Elizabeth Landau, Smithsonian Magazine, 25 Mar. 2020
  • The next step in weirdness leads to the imaginary numbers like i, which is the symbol for the square root of -1.
    George Johnson, Discover Magazine, 1 May 2013
  • Miami has the most salad shops and juice and smoothie bars (per square root of population).
    Gary Stoller, Forbes, 24 Sep. 2024
  • Another, following a different set of rules, might read one number and print its square root.
    Charlie Wood, Wired News, 6 Apr. 2025
  • Similarly, a root of x2 − 2, the square root of 2, is formed using the eighth roots of unity.
    Quanta Magazine, 25 May 2021
  • 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
  • As n, the number of dimensions, grows, the sphere’s surface area increases in proportion to the square root of n.
    Jordana Cepelewicz, Quanta Magazine, 10 Feb. 2023
  • The modern notation for square roots came into use in the 16th and 17th centuries.
    Jordana Cepelewicz, Quanta Magazine, 21 June 2024
  • Many people may have an irrational number in mind, such as pi (π), Euler’s number (e) or the square root of 2.
    Manon Bischoff, Scientific American, 3 Mar. 2023
  • But people tried to solve cubic equations and, in the process of doing that, invented the square root of negative numbers.
    Gemma Tarlach, Discover Magazine, 25 Feb. 2015
  • Irrational numbers such as pi or the square root of 2 have always fascinated humankind.
    Manon Bischoff, Scientific American, 19 June 2026
  • Even though the $16 contribution is four times the $4 contribution, its square root is only twice as much.
    Puja Ohlhaver, Wired, 1 Sep. 2020
  • This distinguishes it again from more familiar irrational numbers like the square root of two (whose second power is equal to two).
    Dan Rockmore /, NBC News, 14 Mar. 2018
  • 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
  • Every number has two square roots, one positive and one negative, and a similar doubling can occur in physics equations.
    Andrew Crumey, WSJ, 8 Dec. 2017
  • The central equation of quantum mechanics featured the imaginary number i, the square root of −1.
    Daniel Garisto, Quanta Magazine, 7 Nov. 2025
  • Several groups have measured the stretching of certain cells in the fruit fly embryo and found that their extension depends on the square root of the amount of time the force is applied.
    Anna Demming, Wired News, 16 Nov. 2025
  • Mathematically, this is accomplished by taking the square root of each state contribution as a first step.
    Puja Ohlhaver, Wired, 1 Sep. 2020
  • The generative AI would then be unable to get an answer to a question about a square root that someone might have entered into a prompt.
    Lance Eliot, Forbes, 17 July 2023
  • Complex numbers have two parts, one real and one imaginary, the latter of which relates to the imaginary number i, defined as the square root of −1.
    Kevin Hartnett, Quanta Magazine, 13 Jan. 2022
  • 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

Some of these examples are programmatically compiled from various online sources to illustrate current usage of the word 'square root.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

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