# Difference between revisions of "Arithmetic root"

From Encyclopedia of Mathematics

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− | ''arithmetical value of the | + | {{TEX|done}} |

+ | ''arithmetical value of the $n$-th root of a real number $a\geq0$'' | ||

− | A non-negative number the | + | A non-negative number the $n$-th power of which is equal to $a$. In considering the two real values of the $n$-th root, where $n$ is an even number, of a non-negative number, one speaks of the algebraic values of the root in the domain of the real numbers; if, on the other hand, one is considering all $n$ values of an $n$-th root, then one speaks of the values of the root in the domain of the complex numbers. |

## Latest revision as of 08:01, 12 April 2014

*arithmetical value of the $n$-th root of a real number $a\geq0$*

A non-negative number the $n$-th power of which is equal to $a$. In considering the two real values of the $n$-th root, where $n$ is an even number, of a non-negative number, one speaks of the algebraic values of the root in the domain of the real numbers; if, on the other hand, one is considering all $n$ values of an $n$-th root, then one speaks of the values of the root in the domain of the complex numbers.

**How to Cite This Entry:**

Arithmetic root.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Arithmetic_root&oldid=19182