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Square Root of 64

The square root of 64 is the number, which multiplied by itself 2 times, is 64. In other words, this number to the power of 2 equals 64.

Besides the real values of

along with an explanation, on this page you can also find what the elements of the square root of 64 are called.

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


²√64 = ±8
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If you have been looking for the square root of sixty-four, then you are right here, too.

Second Root of 64

In this section we provide you with important additional information about the topic of this post:

The term can be written as ²√64 or 64^1/2.

As the index 2 is even and 64 is greater than 0, 64 has two real square roots:

²√64, which is positive and called principal square root of 64, and -²√64 which is negative.

Together, they are denominated as

Although the principal square root of sixty-four is only one of the two square roots, the term “square root of 64” 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 Square Root located in the header menu.

There, we also discuss the properties for index n = 2 by means of examples: multiplication, division, exponentiation etc.

Next, we have a look at the inverse function.

Inverse of Square Root of 64

Extracting the square root is the inverse operation of ^2:

In the following paragraph, we are going to name the elements of this √.

What is the Square Root of 64?

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

Keep reading to learn what the parts are called.
  • ²√64 is the square root of 64 symbol
  • 2 is the index
  • 64 = radicand; the radicand is the number below the radical sign
  • Square root = ±8
  • √ is called radical symbol or radical only
Second root of 64 = ±8

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

Now you really know all about ²√64, including its values, parts and the inverse.

If you need to extract the 2nd root of any other real number use our calculator above.

Simply insert the number of which you want to find the square root (e.g. 64); the calculation is done automatically.

If you like our information about ²√64, then a similar square root you may be interested in is, for example: square 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 64²√64±8
364Cube Root of 64³√644
464Forth Root of 64⁴√64±2.8284271247
564Fifth Root of 64⁵√642.29739671
664Sixth Root of 64⁶√64±2
764Seventh Root of 64⁷√641.8114473285
864Eight Root of 64⁸√64±1.6817928305
964Nineth Root of 64⁹√641.587401052
1064Tenth Root of 64¹⁰√64±1.5157165665
A few lines down from here we review the FAQs.

Square Root of Sixty-Four

If you have been searching for what’s the square root of sixty-four or 2nd root of 64, then you are reading the right post as well.

The same is true if you typed 2 root of 64 or 64 2 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 Square Root of 64

Click on the question which is of interest to you to see the collapsible content answer.

How Many Real Square Roots Does 64 Have?

64 has two real square roots, because the radicand 64 is positive and the index 2 is even.

What to the Second Power Equals 64?

The square root of 64 to the power of 2 equals 64.

How Do You Find the Square Root of 64?

Start with an initial guess such that 2 times that value equals approximately 64, then keep improving the guess until you have the required precision.

What is 64 to the Square Root?

64 to the square root = 64^1/2 = ±8.

What Number is the Square Root of 64?

The square root of 64 = ±8.

How Do You Solve the Square Root of 64?

To compute the 2nd root of 64 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 64?

The value of 2 root 64 is ±8.

If something remains unclear do not hesitate getting in touch with us.

We are constantly trying to improve our site, and truly appreciate your feedback.

Ahead is the wrap-up of our information.


To sum up, the square roots of 64 are ±8; the positive real value is the principal.

Finding the second root of the number 64 is the inverse operation of rising the ²√64 to the power of 2. That is to say, (±8)2 = 64.

Further information about the root of a number like ²√64 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√64 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 64 has been useful to you , then press some of the share buttons located at the bottom of this page.

BTW: A term closely related to square roots is perfect square. We tell you everything about perfect squares in our article Square Numbers.

If you have any questions about the 2nd root of 64, fill in the comment form below.

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