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Cube Root of 684

The cube root of 684 is the number, which multiplied by itself three times, is 684. In other words, this number to the power of 3 equals 684.

Besides the real value of


along with an explanation, on this page you can also find what the elements of the cube root of 684 are called.

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

Calculator

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³√684 = 8.8108681149
If you have been looking for the cube root of six hundred eighty-four, then you are right here, too.

Third Root of 684

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

The term can be written as ³√684 or 684^1/3.

As the index 3 is odd, 684 has only one cube real root: ³√684 sometimes called principal cube root of 684.

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 684

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 684?

You already have the answer to that question, and you also know about the inverse operation of 684 cube root.

Keep reading to learn what the parts are called.

  • ³√684 is the cube root of 684 symbol
  • 3 is the index
  • 684 = radicand; the radicand is the number below the radical sign
  • Cube root = 8.8108681149
  • √ is called radical symbol or radical only

Third root of 684 = 8.8108681149

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

Now you really know all about ³√684, 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. 684); the calculation is done automatically.

If you like our information about ³√684, then a similar cube root you may be interested in is, for example: cube root of 686.

In the following table you can find the n-th root of 684 for number n = 2,3,4,5,6,7,8,9,10.

Table

The aim of this table is to provide you with an overview of the nth roots of 684.

IndexRadicandRootSymbolValue
2684Square Root of 684²√684±26.1533936612
3684Cube Root of 684³√6848.8108681149
4684Forth Root of 684⁴√684±5.1140388795
5684Fifth Root of 684⁵√6843.6898713152
6684Sixth Root of 684⁶√684±2.96831065
7684Seventh Root of 684⁷√6842.5410195974
8684Eight Root of 684⁸√684±2.2614240822
9684Nineth Root of 684⁹√6842.0654098009
10684Tenth Root of 684¹⁰√684±1.9209037756

A few lines down from here we review the FAQs.

Cube Root of Six Hundred Eighty-Four

If you have been searching for what’s the cube root of six hundred eighty-four or 3rd root of 684, then you are reading the right post as well.

The same is true if you typed 3 root of 684 or 684 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.

Summary

To sum up, the cube root of 684 is 8.8108681149.

Finding the third root of the number 684 is the inverse operation of rising the ³√684 to the power of 3. That is to say, (8.8108681149)3 = 684.


Further information related to ³√684 can be found on our page n-th Root.

Note that you can also locate roots like ³√684 by means of the search form in the menu and in the sidebar of this site.

If our article about the cube √ 684 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.

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