6th Root of 64

The 6th root of 64 is the number, which multiplied by itself 6 times, is 64. In other words, this number to the power of 6 equals 64.

Besides the real values of \sqrt[6]{64} along with an explanation, on this page you can also find what the elements of the 6th root of 64 are called.

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

Sixth Root Calculator

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\sqrt[6]{64} = \pm2This 6th Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the 6th root of sixty-four, then you are right here, too.

The term can be written as \sqrt[6]{64} \hspace{3 mm}or\hspace{3 mm} 64^{1/6}.

As the index 6 is even and 64 is greater than 0, 64 has two real 6th roots: \sqrt[6]{64}, which is positive and called principal 6th root of 64, and −\sqrt[6]{64}, which is negative.

Together, they are denominated as ±\sqrt[6]{64}.

Although the principal sixth root of sixty-four is only one of the two 6th roots, the term “6th root of 64” usually refers to the positive number.

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 64

Extracting the 6th root is the inverse operation of ^6:\underbrace{ {\rm \sqrt[6]{64} \times\thinspace ... \times\thinspace \sqrt[6]{64}} }_{\rm 6 \thickspace times} = \sqrt[6]{64}^{6}= 64In the following paragraph, we are going to name the elements of this √.

What is the 6th Root of 64?

You already have the answer to that question, and you also know about the inverse operation of 64 6th root.

Keep reading to learn what the parts are called.

  • \sqrt[6]{64} is the 6th root of 64 symbol
  • 6 is the index
  • 64 = radicand; the radicand is the number below the radical sign
  • 6th root = ±2
  • √ is called radical symbol or radical only

6th root of 64 = ±2

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

Now you really know all about \sqrt[6]{64}, 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. 64); the calculation is done automatically.

If you like our information about \sqrt[6]{64}, then a similar 6th root you may be interested in is, for example: 6th root of 66.

In the following table you can find the n-th root of 64 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 64.
264Square Root of 64\sqrt[2]{64}±8
364Cube Root of 64\sqrt[3]{64}4
464Forth Root of 64\sqrt[4]{64}±2.8284271247
564Fifth Root of 64\sqrt[5]{64}2.29739671
664Sixth Root of 64\sqrt[6]{64}±2
764Seventh Root of 64\sqrt[7]{64}1.8114473285
864Eight Root of 64\sqrt[8]{64}±1.6817928305
964Nineth Root of 64\sqrt[9]{64}1.587401052
1064Tenth Root of 64\sqrt[10]{64}±1.5157165665
A few lines down from here we review the FAQs.

Sixth Root of Sixty-Four

If you have been searching for what's the sixth root of sixty-four or 6-th root of 64, then you are reading the right post as well.

The same is true if you typed 6 root of 64 or 64 6 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 6th Root of 64

How Many Real Sixth Roots Does 64 Have?

64 has two real sixth roots, because the radicand 64 is positive and the index 6 is even.

What to the 6th Power Equals 64?

The 6th root of 64 to the power of 6 equals 64.

How Do You Find the Sixth Root of 64?

Start with an initial guess such that 6 times that value equals approximately 64, then keep improving the guess until you have the required precision.

What is 64 to the 6th Root?

64 to the 6th root = 64^1/6 = ±2.

What Number is the 6th Root of 64?

The 6th root of 64 = ±2.

How Do You Solve the 6-th Root of 64?

To compute the 6-th root of 64 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 6 Root 64?

The value of 6 root 64 is ±2.

Ahead is the wrap-up of our information.


To sum up, the sixth roots of 64 are ±2.

Finding the 6th root of the number 64 is the inverse operation of rising the \sqrt[6]{64} to the power of 6. That is to say, (±2)6 = 64.

6th Root of 64
Further information related to \sqrt[6]{64} can be found on our page 6th Root.

Note that you can also locate roots like \sqrt[6]{64} by means of the search form in the menu and in the sidebar of this site.

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