4th Root of 83

The 4th root of 83 is the number, which multiplied by itself 4 times, is 83. In other words, this number to the power of 4 equals 83.

Besides the real values of \sqrt[4]{83} along with an explanation, on this page you can also find what the elements of the 4th root of 83 are called.

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

Fourth Root Calculator

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\sqrt[4]{83} = \pm3.0183494793This 4th Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the 4th root of eighty-three, then you are right here, too.

The term can be written as \sqrt[4]{83} \hspace{3 mm}or\hspace{3 mm} 83^{1/4}.

As the index 4 is even and 83 is greater than 0, 83 has two real 4th roots: \sqrt[4]{83}, which is positive and called principal 4th root of 83, and −\sqrt[4]{83}, which is negative.

Together, they are denominated as ±\sqrt[4]{83}.

Although the principal fourth root of eighty-three is only one of the two 4th roots, the term “4th root of 83” usually refers to the positive number.

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 83

Extracting the 4th root is the inverse operation of ^4:\underbrace{ {\rm \sqrt[4]{83} \times\thinspace ... \times\thinspace \sqrt[4]{83}} }_{\rm 4 \thickspace times} = \sqrt[4]{83}^{4}= 83In the following paragraph, we are going to name the elements of this ∜.

What is the 4th Root of 83?

You already have the answer to that question, and you also know about the inverse operation of 83 4th root.

Keep reading to learn what the parts are called.

  • \sqrt[4]{83} is the 4th root of 83 symbol
  • 4 is the index
  • 83 = radicand; the radicand is the number below the radical sign
  • 4th root = ±3.0183494793
  • √ is called radical symbol or radical only

4th root of 83 = ±3.0183494793

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

Now you really know all about \sqrt[4]{83}, 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. 83); the calculation is done automatically.

If you like our information about \sqrt[4]{83}, then a similar 4th root you may be interested in is, for example: 4th root of 85.

In the following table you can find the n-th root of 83 for 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 83.
283Square Root of 83\sqrt[2]{83}±9.1104335791
383Cube Root of 83\sqrt[3]{83}4.3620706715
483Forth Root of 83\sqrt[4]{83}±3.0183494793
583Fifth Root of 83\sqrt[5]{83}2.420001407
683Sixth Root of 83\sqrt[6]{83}±2.0885570788
783Seventh Root of 83\sqrt[7]{83}1.8799833943
883Eight Root of 83\sqrt[8]{83}±1.7373397708
983Nineth Root of 83\sqrt[9]{83}1.6339204152
1083Tenth Root of 83\sqrt[10]{83}±1.5556353708
A few lines down from here we review the FAQs.

Fourth Root of Eighty-Three

If you have been searching for what's the fourth root of eighty-three or 4-th root of 83, then you are reading the right post as well.

The same is true if you typed 4 root of 83 or 83 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 83

How Many Real Fourth Roots Does 83 Have?

83 has two real fourth roots, because the radicand 83 is positive and the index 4 is even.

What to the 4th Power Equals 83?

The 4th root of 83 to the power of 4 equals 83.

How Do You Find the Fourth Root of 83?

Start with an initial guess such that 4 times that value equals approximately 83, then keep improving the guess until you have the required precision.

What is 83 to the 4th Root?

83 to the 4th root = 83^1/4 = ±3.0183494793.

What Number is the 4th Root of 83?

The 4th root of 83 = ±3.0183494793.

How Do You Solve the 4-th Root of 83?

To compute the 4-th root of 83 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 4 Root 83?

The value of 4 root 83 is ±3.0183494793.

Ahead is the wrap-up of our information.


To sum up, the fourth roots of 83 are ±3.0183494793.

Finding the 4th root of the number 83 is the inverse operation of rising the \sqrt[4]{83} to the power of 4. That is to say, (±3.0183494793)4 = 83.

4th Root of 83
Further information related to \sqrt[4]{83} can be found on our page 4th Root.

Note that you can also locate roots like \sqrt[4]{83} by means of the search form in the menu and in the sidebar of this site.

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