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Cube Root of 81

The cube root of 81 is the number, which multiplied by itself three times, is 81. In other words, this number to the power of 3 equals 81.

Besides the real value of

along with an explanation, on this page you can also find what the elements of the cube root of 81 are called.

In addition to the terminology, we have a calculator you don’t want to miss:



³√81 = 4.3267487109
If you have been looking for the cube root of eighty-one, then you are right here, too.

Third Root of 81

In this section we provide you with important additional information about the topic of this post:

The term can be written as ³√81 or 81^1/3.

As the index 3 is odd, 81 has only one cube real root: ³√81 sometimes called principal cube root of 81.

If you want to know how to find the value of this root, then read our article Cube Root located in the header menu.

There, we also discuss the properties for index n = 3 by means of examples: multiplication, division, exponentiation etc.

Next, we have a look at the inverse function.

Inverse of Cube Root of 81

Extracting the cube root is the inverse operation of ^3:

In the following paragraph, we are going to name the elements of this ∛.

What is the Cube Root of 81?

You already have the answer to that question, and you also know about the inverse operation of 81 cube root.

Keep reading to learn what the parts are called.

  • ³√81 is the cube root of 81 symbol
  • 3 is the index
  • 81 = radicand; the radicand is the number below the radical sign
  • Cube root = 4.3267487109
  • √ is called radical symbol or radical only

Third root of 81 = 4.3267487109

As a sidenote: All values on this page have been rounded to ten decimal places.

Now you really know all about ³√81, including its values, parts and the inverse.

If you need to extract the 3rd root of any other real number use our calculator above.

Simply insert the number of which you want to find the cube root (e.g. 81); the calculation is done automatically.

If you like our information about ³√81, then a similar cube root you may be interested in is, for example: cube root of 83.

In the following table you can find the n-th root of 81 for number n = 2,3,4,5,6,7,8,9,10.


The aim of this table is to provide you with an overview of the nth roots of 81.

281Square Root of 81²√81±9
381Cube Root of 81³√814.3267487109
481Forth Root of 81⁴√81±3
581Fifth Root of 81⁵√812.4082246853
681Sixth Root of 81⁶√81±2.0800838231
781Seventh Root of 81⁷√811.8734440046
881Eight Root of 81⁸√81±1.7320508076
981Nineth Root of 81⁹√811.6294982222
1081Tenth Root of 81¹⁰√81±1.5518455739

A few lines down from here we review the FAQs.

Cube Root of Eighty-One

If you have been searching for what’s the cube root of eighty-one or 3rd root of 81, then you are reading the right post as well.

The same is true if you typed 3 root of 81 or 81 3 root in the search engine of your preference, just to name a few similar terms.

If something remains unclear do not hesitate getting in touch with us.

We are constantly trying to improve our site, and truly appreciate your feedback.

Ahead is the wrap-up of our information.


To sum up, the cube root of 81 is 4.3267487109.

Finding the third root of the number 81 is the inverse operation of rising the ³√81 to the power of 3. That is to say, (4.3267487109)3 = 81.

Further information related to ³√81 can be found on our page n-th Root.

Note that you can also locate roots like ³√81 by means of the search form in the menu and in the sidebar of this site.

If our article about the cube √ 81 has been useful to you , then press some of the share buttons located at the bottom of this page.

BTW: A term closely related to cube roots is perfect cube. We tell you everything about perfect cubes in our article Cube Numbers.

If you have any questions about the 3rd root of 81, fill in the comment form below.

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– Article written by Mark, last updated on November 26th, 2023