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Cube Root of 512

The cube root of 512 is the number, which multiplied by itself three times, is 512. In other words, this number to the power of 3 equals 512.

Besides the real value of

along with an explanation, on this page you can also find what the elements of the cube root of 512 are called.

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


³√512 = 8
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If you have been looking for the cube root of five hundred twelve, then you are right here, too.

Third Root of 512

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

The term can be written as ³√512 or 512^1/3.

As the index 3 is odd, 512 has only one cube real root: ³√512 sometimes called principal cube root of 512.

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 512

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 512?

You already have the answer to that question, and you also know about the inverse operation of 512 cube root.

Keep reading to learn what the parts are called.
  • ³√512 is the cube root of 512 symbol
  • 3 is the index
  • 512 = radicand; the radicand is the number below the radical sign
  • Cube root = 8
  • √ is called radical symbol or radical only
Third root of 512 = 8

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

Now you really know all about ³√512, 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. 512); the calculation is done automatically.

If you like our information about ³√512, then a similar cube root you may be interested in is, for example: cube root of 514.

In the following table you can find the n-th root of 512 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 512.
2512Square Root of 512²√512±22.627416998
3512Cube Root of 512³√5128
4512Forth Root of 512⁴√512±4.75682846
5512Fifth Root of 512⁵√5123.4822022532
6512Sixth Root of 512⁶√512±2.8284271247
7512Seventh Root of 512⁷√5122.4380273084
8512Eight Root of 512⁸√512±2.1810154653
9512Nineth Root of 512⁹√5122
10512Tenth Root of 512¹⁰√512±1.8660659831
A few lines down from here we review the FAQs.

Cube Root of Five Hundred Twelve

If you have been searching for what’s the cube root of five hundred twelve or 3rd root of 512, then you are reading the right post as well.

The same is true if you typed 3 root of 512 or 512 3 root in the search engine of your preference, just to name a few similar terms.

Right below you can find the frequently asked questions in the context.

FAQs About the Cube Root of 512

Click on the question which is of interest to you to see the collapsible content answer.

How Many Real Cube Roots Does 512 Have?

512 has one real cube root, because the index 3 is odd.

What to the Third Power Equals 512?

The cube root of 512 to the power of 3 equals 512.

How Do You Find the Cube Root of 512?

Start with an initial guess such that 3 times that value equals approximately 512, then keep improving the guess until you have the required precision.

What is 512 to the Cube Root?

512 to the cube root = 512^1/3 = 8.

What Number is the Cube Root of 512?

The cube root of 512 = 8.

How Do You Solve the Cube Root of 512?

To compute the 3rd root of 512 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 3 Root 512?

The value of 3 root 512 is 8.

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 512 is 8.

Finding the third root of the number 512 is the inverse operation of rising the ³√512 to the power of 3. That is to say, (8)3 = 512.

Further information related to ³√512 can be found on our page n-th Root.

Note that you can also locate roots like ³√512 by means of the search form in the menu and in the sidebar of this site.

If our article about the cube √ 512 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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