What does cube root mean?

Definitions for cube root
cube root

This dictionary definitions page includes all the possible meanings, example usage and translations of the word cube root.

Princeton's WordNet

  1. cube rootnoun

    a number that when multiplied three times equals a given number

Wiktionary

  1. cube rootnoun

    Of a number or expression, a number or expression the cube of which is equal to the given number or expression.

Samuel Johnson's Dictionary

  1. Cube Root, Cubick Rootnoun

    The origin of a cubick number; or a number, by whose multiplication into itself, and again into the product, any given number is formed: thus two is the cube-root of eight. Ephraim Chambers

  2. Cube Root, Cubick Rootnoun

    The origin of a cubick number; or a number, by whose multiplication into itself, and again into the product, any given number is formed: thus two is the cube-root of eight. Ephraim Chambers

Wikipedia

  1. Cube root

    In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted 8 3 {\displaystyle {\sqrt[{3}]{8}}} , is 2, because 23 = 8, while the other cube roots of 8 are − 1 + i 3 {\displaystyle -1+i{\sqrt {3}}} and − 1 − i 3 {\displaystyle -1-i{\sqrt {3}}} . The three cube roots of −27i are 3 i , 3 3 2 − 3 2 i , and − 3 3 2 − 3 2 i . {\displaystyle 3i,\quad {\frac {3{\sqrt {3}}}{2}}-{\frac {3}{2}}i,\quad {\text{and}}\quad -{\frac {3{\sqrt {3}}}{2}}-{\frac {3}{2}}i.} In some contexts, particularly when the number whose cube root is to be taken is a real number, one of the cube roots (in this particular case the real one) is referred to as the principal cube root, denoted with the radical sign 3 . {\displaystyle {\sqrt[{3}]{~^{~}}}.} The cube root is the inverse function of the cube function if considering only real numbers, but not if considering also complex numbers: although one has always ( x 3 ) 3 = x , {\displaystyle \left({\sqrt[{3}]{x}}\right)^{3}=x,} the cube of a nonzero number has more than one complex cube root and its principal cube root may not be the number that was cubed. For example, ( − 1 + i 3 ) 3 = 8 {\displaystyle (-1+i{\sqrt {3}})^{3}=8} , but 8 3 = 2. {\displaystyle {\sqrt[{3}]{8}}=2.}

ChatGPT

  1. cube root

    The cube root of a number is a value that, when cubed (multiplied by itself three times), gives the original number. It is denoted as ∛n or n^(1/3). For example, the cube root of 27 is 3, since 3*3*3 equals to 27.

Wikidata

  1. Cube root

    In mathematics, a cube root of a number, denoted or x1/3, is a number a such that a³ = x. All real numbers have exactly one real cube root and a pair of complex conjugate roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8 is 2, because 2³ = 8. All the cube roots of −27i are The cube root operation is not associative or distributive with addition or subtraction. The cube root operation is associative with exponentiation and distributive with multiplication and division if considering only real numbers, but not always if considering complex numbers, for example: but

Suggested Resources

  1. cube root

    The cube root symbol -- In this Symbols.com article you will learn about the meaning of the cube root symbol and its characteristic.

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Numerology

  1. Chaldean Numerology

    The numerical value of cube root in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of cube root in Pythagorean Numerology is: 9


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"cube root." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/cube+root>.

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