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Square Root of 12

The square root of 12 is the number, which multiplied by itself 2 times, is 12. In other words, this number to the power of 2 equals 12.

Besides the real values of

along with an explanation, on this page you can also find what the elements of the square root of 12 are called.

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

²√12 = ±3.4641016151
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If you have been looking for the square root of twelve, then you are right here, too.

Second Root of 12

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

The term can be written as ²√12 or 12^1/2.

As the index 2 is even and 12 is greater than 0, 12 has two real square roots:

²√12, which is positive and called principal square root of 12, and -²√12 which is negative.

Together, they are denominated as

Although the principal square root of twelve is only one of the two square roots, the term “square root of 12” 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 12

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 12?

You already have the answer to that question, and you also know about the inverse operation of 12 square root.

Keep reading to learn what the parts are called.
  • ²√12 is the square root of 12 symbol
  • 2 is the index
  • 12 = radicand; the radicand is the number below the radical sign
  • Square root = ±3.4641016151
  • √ is called radical symbol or radical only
Second root of 12 = ±3.4641016151

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

Now you really know all about ²√12, 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. 12); the calculation is done automatically.

If you like our information about ²√12, then a similar square root you may be interested in is, for example: square root of 14.

In the following table you can find the n-th root of 12 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 12.
212Square Root of 12²√12±3.4641016151
312Cube Root of 12³√122.2894284851
412Forth Root of 12⁴√12±1.8612097182
512Fifth Root of 12⁵√121.6437518295
612Sixth Root of 12⁶√12±1.5130857494
712Seventh Root of 12⁷√121.4261616352
812Eight Root of 12⁸√12±1.3642616018
912Nineth Root of 12⁹√121.3179806292
1012Tenth Root of 12¹⁰√12±1.282088854
A few lines down from here we review the FAQs.

Square Root of Twelve

If you have been searching for what’s the square root of twelve or 2nd root of 12, then you are reading the right post as well.

The same is true if you typed 2 root of 12 or 12 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 12

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

How Many Real Square Roots Does 12 Have?

12 has two real square roots, because the radicand 12 is positive and the index 2 is even.

What to the Second Power Equals 12?

The square root of 12 to the power of 2 equals 12.

How Do You Find the Square Root of 12?

Start with an initial guess such that 2 times that value equals approximately 12, then keep improving the guess until you have the required precision.

What is 12 to the Square Root?

12 to the square root = 12^1/2 = ±3.4641016151.

What Number is the Square Root of 12?

The square root of 12 = ±3.4641016151.

How Do You Solve the Square Root of 12?

To compute the 2nd root of 12 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 12?

The value of 2 root 12 is ±3.4641016151.

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 12 are ±3.4641016151; the positive real value is the principal.

Finding the second root of the number 12 is the inverse operation of rising the ²√12 to the power of 2. That is to say, (±3.4641016151)2 = 12.

Further information about the root of a number like ²√12 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√12 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 12 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 12, fill in the comment form below.

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