# Difference between revisions of "Arithmetic root"

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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