Home » 6th Roots » 6th Root of 10000

6th Root of 10000

The 6th root of 10000 is the number, which multiplied by itself 6 times, is 10000. In other words, this number to the power of 6 equals 10000.

Besides the real values of


along with an explanation, on this page you can also find what the elements of the 6th root of 10000 are called.

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

Calculator

±
Reset

⁶√10000 = ±4.6415888336

If you have been looking for the 6th root of ten thousand, then you are right here, too.

Sixth Root of 10000

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

The term can be written as ⁶√10000 or 10000^1/6.

As the index 6 is even and 10000 is greater than 0, 10000 has two real 4th roots:

⁶√10000, which is positive and called principal 6th root of 10000, and -⁶√10000 which is negative.

Together, they are denominated as


Although the principal sixth root of ten thousand is only one of the two 6th roots, the term “6th root of 10000” usually refers to the positive number, that is the principal square root.

If you want to know how to find the value of this root, then read our article 6th Root located in the header menu.

There, we also discuss the properties for index n = 6 by means of examples: multiplication, division, exponentiation etc.

Next, we have a look at the inverse function.

Inverse of 6th Root of 10000

Extracting the 6th root is the inverse operation of ^6:


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

What is the 6th Root of 10000?

You already have the answer to that question, and you also know about the inverse operation of 10000 6th root.

Keep reading to learn what the parts are called.

  • ⁶√10000 is the 6th root of 10000 symbol
  • 6 is the index
  • 10000 = radicand; the radicand is the number below the radical sign
  • 6th root = ±4.6415888336
  • √ is called radical symbol or radical only

6th root of 10000 = ±4.6415888336

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

Now you really know all about ⁶√10000, including its values, parts and the inverse.

If you need to extract the 6th root of any other real number use our calculator above.

Simply insert the number of which you want to find the 6th root (e.g. 10000); the calculation is done automatically.

If you like our information about ⁶√10000, then a similar 6th root you may be interested in is, for example: 6th root of 19683.

In the following table you can find the n-th root of 10000 for 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 10000.

IndexRadicandRootSymbolValue
210000Square Root of 10000²√10000±100
310000Cube Root of 10000³√1000021.5443469003
410000Forth Root of 10000⁴√10000±10
510000Fifth Root of 10000⁵√100006.3095734448
610000Sixth Root of 10000⁶√10000±4.6415888336
710000Seventh Root of 10000⁷√100003.7275937203
810000Eight Root of 10000⁸√10000±3.1622776602
910000Nineth Root of 10000⁹√100002.7825594022
1010000Tenth Root of 10000¹⁰√10000±2.5118864315

A few lines down from here we review the FAQs.

Sixth Root of Ten Thousand

If you have been searching for what’s the sixth root of ten thousand or 6-th root of 10000, then you are reading the right post as well.

The same is true if you typed 6 root of 10000 or 10000 6 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 sixth roots of 10000 are ±4.6415888336.

Finding the 6th root of the number 10000 is the inverse operation of rising the ⁶√10000 to the power of 6. That is to say, (±4.6415888336)6 = 10000.


Further information related to ⁶√10000 can be found on our page 6th Root.

Note that you can also locate roots like ⁶√10000 by means of the search form in the menu and in the sidebar of this site.

If our article about the sixth √ 10000 has been useful to you , then press some of the share buttons located at the bottom of this page.

If you have any questions about the 6-th root of 10000, fill in the comment form below.

Websites which are related to this one can be found in the “recommended sites” section in the sidebar.

Last, but not least, don’t forget to install our absolutely free PWA app (see menu or sidebar), or to bookmark us.

And come back soon!

Thanks for your visit.

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