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Cube Root of 1000

The cube root of 1000 is the number, which multiplied by itself three times, is 1000. In other words, this number to the power of 3 equals 1000.

Besides the real value of

along with an explanation, on this page you can also find what the elements of the cube root of 1000 are called.

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



³√1000 = 10
If you have been looking for the cube root of one thousand, then you are right here, too.

Third Root of 1000

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

The term can be written as ³√1000 or 1000^1/3.

As the index 3 is odd, 1000 has only one cube real root: ³√1000 sometimes called principal cube root of 1000.

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 1000

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 1000?

You already have the answer to that question, and you also know about the inverse operation of 1000 cube root.

Keep reading to learn what the parts are called.

  • ³√1000 is the cube root of 1000 symbol
  • 3 is the index
  • 1000 = radicand; the radicand is the number below the radical sign
  • Cube root = 10
  • √ is called radical symbol or radical only

Third root of 1000 = 10

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

Now you really know all about ³√1000, 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. 1000); the calculation is done automatically.

If you like our information about ³√1000, then a similar cube root you may be interested in is, for example: cube root of 1002.

In the following table you can find the n-th root of 1000 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 1000.

21000Square Root of 1000²√1000±31.6227766017
31000Cube Root of 1000³√100010
41000Forth Root of 1000⁴√1000±5.6234132519
51000Fifth Root of 1000⁵√10003.9810717055
61000Sixth Root of 1000⁶√1000±3.1622776602
71000Seventh Root of 1000⁷√10002.6826957953
81000Eight Root of 1000⁸√1000±2.3713737057
91000Nineth Root of 1000⁹√10002.15443469
101000Tenth Root of 1000¹⁰√1000±1.995262315

A few lines down from here we review the FAQs.

Cube Root of One Thousand

If you have been searching for what’s the cube root of one thousand or 3rd root of 1000, then you are reading the right post as well.

The same is true if you typed 3 root of 1000 or 1000 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 1000 is 10.

Finding the third root of the number 1000 is the inverse operation of rising the ³√1000 to the power of 3. That is to say, (10)3 = 1000.

Further information related to ³√1000 can be found on our page n-th Root.

Note that you can also locate roots like ³√1000 by means of the search form in the menu and in the sidebar of this site.

If our article about the cube √ 1000 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 1000, fill in the comment form below.

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