The 4th root of 81 is the number, which multiplied by itself 4 times, is 81. In other words, this number to the power of 4 equals 81.
Besides the real values of
along with an explanation, on this page you can also find what the elements of the 4th root of 81 are called.
In addition to the terminology, we have a calculator you don’t want to miss:
Fourth Root of 81In this section we provide you with important additional information about the topic of this post:
The term can be written as ⁴√81 or 81^1/4.
As the index 4 is even and 81 is greater than 0, 81 has two real 4th roots:
⁴√81, which is positive and called principal 4th root of 81, and -⁴√81 which is negative.
Together, they are denominated as
Although the principal fourth root of eighty-one is only one of the two 4th roots, the term “4th root of 81” 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 4th Root located in the header menu.
There, we also discuss the properties for index n = 4 by means of examples: multiplication, division, exponentiation etc.
Next, we have a look at the inverse function.
Inverse of 4th Root of 81Extracting the 4th root is the inverse operation of ^4:
In the following paragraph, we are going to name the elements of this ∜.
What is the 4th Root of 81?You already have the answer to that question, and you also know about the inverse operation of 81 4th root.
Keep reading to learn what the parts are called.
- ⁴√81 is the 4th root of 81 symbol
- 4 is the index
- 81 = radicand; the radicand is the number below the radical sign
- 4th root = ±3
- √ is called radical symbol or radical only
As a sidenote: All values on this page have been rounded to ten decimal places.
Now you really know all about ⁴√81, including its values, parts and the inverse.
If you need to extract the 4th root of any other real number use our calculator above.
Simply insert the number of which you want to find the 4th root (e.g. 81); the calculation is done automatically.
If you like our information about ⁴√81, then a similar 4th root you may be interested in is, for example: 4th root of 83.
In the following table you can find the n-th root of 81 for n = 2,3,4,5,6,7,8,9,10.
TableThe aim of this table is to provide you with an overview of the nth roots of 81.
A few lines down from here we review the FAQs.
|2||81||Square Root of 81||²√81||±9|
|3||81||Cube Root of 81||³√81||4.3267487109|
|4||81||Forth Root of 81||⁴√81||±3|
|5||81||Fifth Root of 81||⁵√81||2.4082246853|
|6||81||Sixth Root of 81||⁶√81||±2.0800838231|
|7||81||Seventh Root of 81||⁷√81||1.8734440046|
|8||81||Eight Root of 81||⁸√81||±1.7320508076|
|9||81||Nineth Root of 81||⁹√81||1.6294982222|
|10||81||Tenth Root of 81||¹⁰√81||±1.5518455739|
Fourth Root of Eighty-OneIf you have been searching for what’s the fourth root of eighty-one or 4-th root of 81, then you are reading the right post as well.
The same is true if you typed 4 root of 81 or 81 4 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 4th Root of 81Click on the question which is of interest to you to see the collapsible content answer.
How Many Real Fourth Roots Does 81 Have?
81 has two real fourth roots, because the radicand 81 is positive and the index 4 is even.
What to the 4th Power Equals 81?
The 4th root of 81 to the power of 4 equals 81.
How Do You Find the Fourth Root of 81?
Start with an initial guess such that 4 times that value equals approximately 81, then keep improving the guess until you have the required precision.
What is 81 to the 4th Root?
81 to the 4th root = 81^1/4 = ±3.
What Number is the 4th Root of 81?
The 4th root of 81 = ±3.
How Do You Solve the 4-th Root of 81?
To compute the 4-th root of 81 use a calculator, and/or employ the Newton–Raphson method.
What is the Value of 4 Root 81?
The value of 4 root 81 is ±3.
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Ahead is the wrap-up of our information.
SummaryTo sum up, the fourth roots of 81 are ±3.
Finding the 4th root of the number 81 is the inverse operation of rising the ⁴√81 to the power of 4. That is to say, (±3)4 = 81.
Further information related to ⁴√81 can be found on our page 4th Root.
Note that you can also locate roots like ⁴√81 by means of the search form in the menu and in the sidebar of this site.
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