Table of Contents
The 6th root of 729 is the number, which multiplied by itself 6 times, is 729. In other words, this number to the power of 6 equals 729.
Besides the real values of
along with an explanation, on this page you can also find what the elements of the 6th root of 729 are called.
In addition to the terminology, we have a calculator you don’t want to miss:
Calculator
If you have been looking for the 6th root of seven hundred twenty-nine, then you are right here, too.
Sixth Root of 729
In this section we provide you with important additional information about the topic of this post:
The term can be written as ⁶√729 or 729^1/6.
As the index 6 is even and 729 is greater than 0, 729 has two real 4th roots:
⁶√729, which is positive and called principal 6th root of 729, and -⁶√729 which is negative.
Together, they are denominated as
Although the principal sixth root of seven hundred twenty-nine is only one of the two 6th roots, the term “6th root of 729” 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 729
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 729?
You already have the answer to that question, and you also know about the inverse operation of 729 6th root.
Keep reading to learn what the parts are called.
- ⁶√729 is the 6th root of 729 symbol
- 6 is the index
- 729 = radicand; the radicand is the number below the radical sign
- 6th root = ±3
- √ is called radical symbol or radical only
6th root of 729 = ±3
As a sidenote: All values on this page have been rounded to ten decimal places.
Now you really know all about ⁶√729, 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. 729); the calculation is done automatically.
If you like our information about ⁶√729, then a similar 6th root you may be interested in is, for example: 6th root of 731.
In the following table you can find the n-th root of 729 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 729.
| Index | Radicand | Root | Symbol | Value |
|---|---|---|---|---|
| 2 | 729 | Square Root of 729 | ²√729 | ±27 |
| 3 | 729 | Cube Root of 729 | ³√729 | 9 |
| 4 | 729 | Forth Root of 729 | ⁴√729 | ±5.1961524227 |
| 5 | 729 | Fifth Root of 729 | ⁵√729 | 3.7371928188 |
| 6 | 729 | Sixth Root of 729 | ⁶√729 | ±3 |
| 7 | 729 | Seventh Root of 729 | ⁷√729 | 2.5642541997 |
| 8 | 729 | Eight Root of 729 | ⁸√729 | ±2.279507057 |
| 9 | 729 | Nineth Root of 729 | ⁹√729 | 2.0800838231 |
| 10 | 729 | Tenth Root of 729 | ¹⁰√729 | ±1.9331820449 |
A few lines down from here we review the FAQs.
Sixth Root of Seven Hundred Twenty-Nine
If you have been searching for what’s the sixth root of seven hundred twenty-nine or 6-th root of 729, then you are reading the right post as well.
The same is true if you typed 6 root of 729 or 729 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.
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Ahead is the wrap-up of our information.
Summary
To sum up, the sixth roots of 729 are ±3.
Finding the 6th root of the number 729 is the inverse operation of rising the ⁶√729 to the power of 6. That is to say, (±3)6 = 729.
Further information related to ⁶√729 can be found on our page 6th Root.
Note that you can also locate roots like ⁶√729 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