What does nth root mean?

Definitions for nth root

Here are all the possible meanings and translations of the word nth root.


  1. nth root

    In mathematics, the nth root of a number x is a number r which, when raised to the power of n, equals x where n is the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root. Roots of higher degree are referred to using ordinal numbers, as in fourth root, twentieth root, etc. For example: ⁕2 is a square root of 4, since 2² = 4. ⁕−2 is also a square root of 4, since ² = 4. A real number or complex number has n roots of degree n. While the roots of 0 are not distinct, the n nth roots of any other real or complex number are all distinct. If n is even and the radicand is real and positive, one of its nth roots is positive, one is negative, and the rest are complex but not real; if n is even and the radicand is real and negative, none of the nth roots is real. If n is odd and the radicand is real, one nth root is real and has the same sign as the radicand, while the other roots are not real. Roots are usually written using the radical symbol or radix or, with or denoting the square root, denoting the cube root, denoting the fourth root, and so on. In the expression, n is called the index, is the radical sign or radix, and x is called the radicand. When a number is presented under the radical symbol, it must return only one result like a function, so a non-negative real root, called the principal nth root, is preferred rather than others. An unresolved root, especially one using the radical symbol, is often referred to as a surd or a radical. Any expression containing a radical, whether it is a square root, a cube root, or a higher root, is called a radical expression.


  1. Chaldean Numerology

    The numerical value of nth root in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of nth root in Pythagorean Numerology is: 2

Images & Illustrations of nth root

  1. nth rootnth rootnth root

Translations for nth root

From our Multilingual Translation Dictionary

Get even more translations for nth root »


Find a translation for the nth root definition in other languages:

Select another language:

Discuss these nth root definitions with the community:

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:     


Use the citation below to add this definition to your bibliography:


"nth root." Definitions.net. STANDS4 LLC, 2018. Web. 20 Mar. 2018. <https://www.definitions.net/definition/nth root>.

Are we missing a good definition for nth root? Don't keep it to yourself...

Nearby & related entries:

Alternative searches for nth root:

Thanks for your vote! We truly appreciate your support.