root (in mathematics)
root, in mathematics, number or quantity r for which an equation f(r)=0 holds true, where f is some function. If f is a polynomial, r is called a root of f; for example, r=3 and r=4 are roots of the equation x^{2}+x12=0, because (3)^{2}+(3)12=0 and (4)^{2}+(4)12=0. In the special case where f(x)=x^{n}a for some number a, a root of f is called an nth root of a, denoted by na or a^{1/n}. For example, 2 is the third, or cube, root of 8 (38=2), since it satisfies the equation x^{3}8=0. Every number has n different (real or complex) nth roots; e.g., there are two square roots of 9 (3 and 3) since (3)(3)=9 and (3)(3)=9.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"root (in mathematics)." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 19 Apr. 2018 <http://www.encyclopedia.com>.
"root (in mathematics)." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (April 19, 2018). http://www.encyclopedia.com/reference/encyclopediasalmanacstranscriptsandmaps/rootmathematics
"root (in mathematics)." The Columbia Encyclopedia, 6th ed.. . Retrieved April 19, 2018 from Encyclopedia.com: http://www.encyclopedia.com/reference/encyclopediasalmanacstranscriptsandmaps/rootmathematics
Citation styles
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the mostrecent information available at these sites:
Modern Language Association
The Chicago Manual of Style
http://www.chicagomanualofstyle.org/tools_citationguide.html
American Psychological Association
Notes:
 Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
 In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.
root
root In mathematics, fractional power of a number. The square root of a number, x, is written as either √x or x½. The fourth root of x may be written in radical form as ^{4}√x or in power form as x√. The fourth root of 16, for example, is 2 since 2 × 2 × 2 × 2 = 16.
Cite this article
Pick a style below, and copy the text for your bibliography.

MLA

Chicago

APA
"root." World Encyclopedia. . Encyclopedia.com. 19 Apr. 2018 <http://www.encyclopedia.com>.
"root." World Encyclopedia. . Encyclopedia.com. (April 19, 2018). http://www.encyclopedia.com/environment/encyclopediasalmanacstranscriptsandmaps/root0
"root." World Encyclopedia. . Retrieved April 19, 2018 from Encyclopedia.com: http://www.encyclopedia.com/environment/encyclopediasalmanacstranscriptsandmaps/root0
Citation styles
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the mostrecent information available at these sites:
Modern Language Association
The Chicago Manual of Style
http://www.chicagomanualofstyle.org/tools_citationguide.html
American Psychological Association
Notes:
 Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
 In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.