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6th Root of 68

The 6th root of 68 is the number, which multiplied by itself 6 times, is 68. In other words, this number to the power of 6 equals 68.

Besides the real values of


along with an explanation, on this page you can also find what the elements of the 6th root of 68 are called.

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

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⁶√68 = ±2.0203106449

If you have been looking for the 6th root of sixty-eight, then you are right here, too.

Sixth Root of 68

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

The term can be written as ⁶√68 or 68^1/6.

As the index 6 is even and 68 is greater than 0, 68 has two real 4th roots:

⁶√68, which is positive and called principal 6th root of 68, and -⁶√68 which is negative.

Together, they are denominated as


Although the principal sixth root of sixty-eight is only one of the two 6th roots, the term “6th root of 68” 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 68

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 68?

You already have the answer to that question, and you also know about the inverse operation of 68 6th root.

Keep reading to learn what the parts are called.

  • ⁶√68 is the 6th root of 68 symbol
  • 6 is the index
  • 68 = radicand; the radicand is the number below the radical sign
  • 6th root = ±2.0203106449
  • √ is called radical symbol or radical only

6th root of 68 = ±2.0203106449

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

Now you really know all about ⁶√68, 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. 68); the calculation is done automatically.

If you like our information about ⁶√68, then a similar 6th root you may be interested in is, for example: 6th root of 70.

In the following table you can find the n-th root of 68 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 68.

IndexRadicandRootSymbolValue
268Square Root of 68²√68±8.2462112512
368Cube Root of 68³√684.0816551019
468Forth Root of 68⁴√68±2.871621711
568Fifth Root of 68⁵√682.3254220304
668Sixth Root of 68⁶√68±2.0203106449
768Seventh Root of 68⁷√681.8272037906
868Eight Root of 68⁸√68±1.6945859999
968Nineth Root of 68⁹√681.59812999
1068Tenth Root of 68¹⁰√68±1.5249334512

A few lines down from here we review the FAQs.

Sixth Root of Sixty-Eight

If you have been searching for what’s the sixth root of sixty-eight or 6-th root of 68, then you are reading the right post as well.

The same is true if you typed 6 root of 68 or 68 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 68 are ±2.0203106449.

Finding the 6th root of the number 68 is the inverse operation of rising the ⁶√68 to the power of 6. That is to say, (±2.0203106449)6 = 68.


Further information related to ⁶√68 can be found on our page 6th Root.

Note that you can also locate roots like ⁶√68 by means of the search form in the menu and in the sidebar of this site.

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