4th Root of 20

The 4th root of 20 is the number, which multiplied by itself 4 times, is 20. In other words, this number to the power of 4 equals 20.

Besides the real values of \sqrt[4]{20} along with an explanation, on this page you can also find what the elements of the 4th root of 20 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]{20} = \pm2.1147425269This 4th Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the 4th root of twenty, then you are right here, too.

The term can be written as \sqrt[4]{20} \hspace{3 mm}or\hspace{3 mm} 20^{1/4}.

As the index 4 is even and 20 is greater than 0, 20 has two real 4th roots: \sqrt[4]{20}, which is positive and called principal 4th root of 20, and −\sqrt[4]{20}, which is negative.

Together, they are denominated as ±\sqrt[4]{20}.

Although the principal fourth root of twenty is only one of the two 4th roots, the term “4th root of 20” 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 20

Extracting the 4th root is the inverse operation of ^4:\underbrace{ {\rm \sqrt[4]{20} \times\thinspace ... \times\thinspace \sqrt[4]{20}} }_{\rm 4 \thickspace times} = \sqrt[4]{20}^{4}= 20In the following paragraph, we are going to name the elements of this ∜.

What is the 4th Root of 20?

You already have the answer to that question, and you also know about the inverse operation of 20 4th root.

Keep reading to learn what the parts are called.

  • \sqrt[4]{20} is the 4th root of 20 symbol
  • 4 is the index
  • 20 = radicand; the radicand is the number below the radical sign
  • 4th root = ±2.1147425269
  • √ is called radical symbol or radical only

4th root of 20 = ±2.1147425269

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

Now you really know all about \sqrt[4]{20}, 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. 20); the calculation is done automatically.

If you like our information about \sqrt[4]{20}, then a similar 4th root you may be interested in is, for example: 4th root of 22.

In the following table you can find the n-th root of 20 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 20.
IndexRadicandRootSymbolValue
220Square Root of 20\sqrt[2]{20}±4.472135955
320Cube Root of 20\sqrt[3]{20}2.7144176166
420Forth Root of 20\sqrt[4]{20}±2.1147425269
520Fifth Root of 20\sqrt[5]{20}1.820564203
620Sixth Root of 20\sqrt[6]{20}±1.6475489724
720Seventh Root of 20\sqrt[7]{20}1.5341274046
820Eight Root of 20\sqrt[8]{20}±1.4542154334
920Nineth Root of 20\sqrt[9]{20}1.394950794
1020Tenth Root of 20\sqrt[10]{20}±1.3492828477
A few lines down from here we review the FAQs.

Fourth Root of Twenty

If you have been searching for what's the fourth root of twenty or 4-th root of 20, then you are reading the right post as well.

The same is true if you typed 4 root of 20 or 20 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 20

How Many Real Fourth Roots Does 20 Have?

20 has two real fourth roots, because the radicand 20 is positive and the index 4 is even.

What to the 4th Power Equals 20?

The 4th root of 20 to the power of 4 equals 20.

How Do You Find the Fourth Root of 20?

Start with an initial guess such that 4 times that value equals approximately 20, then keep improving the guess until you have the required precision.

What is 20 to the 4th Root?

20 to the 4th root = 20^1/4 = ±2.1147425269.

What Number is the 4th Root of 20?

The 4th root of 20 = ±2.1147425269.

How Do You Solve the 4-th Root of 20?

To compute the 4-th root of 20 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 4 Root 20?

The value of 4 root 20 is ±2.1147425269.



Ahead is the wrap-up of our information.

Summary

To sum up, the fourth roots of 20 are ±2.1147425269.

Finding the 4th root of the number 20 is the inverse operation of rising the \sqrt[4]{20} to the power of 4. That is to say, (±2.1147425269)4 = 20.

4th Root of 20
Further information related to \sqrt[4]{20} can be found on our page 4th Root.

Note that you can also locate roots like \sqrt[4]{20} by means of the search form in the menu and in the sidebar of this site.

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If you have any questions about the 4-th root of 20, fill in the comment form below.

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