# Arithmetical root

*
*

*Arithmetical root. Algebraic root.*

Absolute value (modulus) of number.

Absolute value (modulus) of number.

As we know, an even degree root has two values: positive and negative, so

**
An arithmetical root
**
of the

*n*-th degree of a

*non-negative*number

*a*is called a

*non-negative*number, the

*n*-th power of which is equal to

*a*.

**
An algebraic root
**
of the

*n*-th degree of a

*given*number

*a*iscalled a set of all roots of this number. An algebraic root of an

*even*degree has the two values:positive and negative, for instance:

An algebraic root of an
*
odd
*
degrees has a single value: either positive, or negative.For example, the arithmetical root

Unlike this, the cube degree root:

An
**
arithmetical root
**
is closely connected with the notion of an

**of number, exactly:**

*absolute value(modulus)*Operations with roots in more detail see the section “Powers and roots” .