Cube Root
Pronunciation: /kjub rut/ Explain
The cube root of an arbitrary value x
is a value that, when multiplied by itself three times, equals x.^{[1]}
Stated mathematically, .
While a square root of a negative number is undefined for real numbers, the cube root
of a negative number is possible. This is because a negative number multiplied by itself
three times is still negative.
Examples of Cube Roots



Table 1 
Using a Calculator to Calculate a Cube Root
While some scientific calculators have a cube root button, most do not. To calculate
the cube root of 3, type the following characters into your calculator, followed by the
enter key: 3^(1/3). This works because the cube root of
x is the same thing as x raised to the
1/3 power: .
References
 McAdams, David E.. All Math Words Dictionary, cube root. 2nd Classroom edition 201501084799968. pg 51. Life is a Story Problem LLC. January 8, 2015. Buy the book
 cube root. merriamwebster.com. Encyclopedia Britannica. MerriamWebster. Last Accessed 6/25/2018. http://www.merriamwebster.com/dictionary/cube root. Buy the book
 Oberg, Erik. Elementary Algebra. pg 8. www.archive.org. Machinery's Reference Series. The Industrial Press. 1914. Last Accessed 6/25/2018. http://www.archive.org/stream/elementaryalgebr00oberrich#page/8/mode/1up/search/cube. Buy the book
 Hines, G. D.. Mathematical roots uprooted, including square root, cube root, and other roots. pp 35. www.archive.org. J. R. Holcomb & Co., Publishers. 1886. Last Accessed 6/25/2018. http://www.archive.org/stream/mathematicalroot00hinerich#page/n10/mode/1up/search/cube. Buy the book
Cite this article as:
McAdams, David E. Cube Root. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/cuberoot.html.
Image Credits
Revision History
4/16/2019: Updated equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (
McAdams, David E.)
1/22/2010: Added "References". (
McAdams, David E.)
11/25/2008: Changed equations to images. (
McAdams, David E.)
7/11/2008: Changed equations to Hot_EQN. (
McAdams, David E.)
1/5/2008: Initial version. (
McAdams, David E.)