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Square Root of 32


The square root of 32 is the number, which multiplied by itself 2 times, is 32. In other words, this number to the power of 2 equals 32.

Besides the real values of


along with an explanation, on this page you can also find what the elements of the square root of 32 are called.

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

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²√32 = ±5.6568542495
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If you have been looking for the square root of thirty-two, then you are right here, too.

Second Root of 32

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

The term can be written as ²√32 or 32^1/2.

As the index 2 is even and 32 is greater than 0, 32 has two real square roots:

²√32, which is positive and called principal square root of 32, and -²√32 which is negative.

Together, they are denominated as


Although the principal square root of thirty-two is only one of the two square roots, the term “square root of 32” 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 32

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 32?

You already have the answer to that question, and you also know about the inverse operation of 32 square root.

Keep reading to learn what the parts are called.
  • ²√32 is the square root of 32 symbol
  • 2 is the index
  • 32 = radicand; the radicand is the number below the radical sign
  • Square root = ±5.6568542495
  • √ is called radical symbol or radical only
Second root of 32 = ±5.6568542495

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

Now you really know all about ²√32, 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. 32); the calculation is done automatically.

If you like our information about ²√32, then a similar square root you may be interested in is, for example: square root of 34.

In the following table you can find the n-th root of 32 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 32.
IndexRadicandRootSymbolValue
232Square Root of 32²√32±5.6568542495
332Cube Root of 32³√323.1748021039
432Forth Root of 32⁴√32±2.37841423
532Fifth Root of 32⁵√322
632Sixth Root of 32⁶√32±1.7817974363
732Seventh Root of 32⁷√321.640670712
832Eight Root of 32⁸√32±1.5422108254
932Nineth Root of 32⁹√321.4697344923
1032Tenth Root of 32¹⁰√32±1.4142135624
A few lines down from here we review the FAQs.

Square Root of Thirty-Two

If you have been searching for what’s the square root of thirty-two or 2nd root of 32, then you are reading the right post as well.

The same is true if you typed 2 root of 32 or 32 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 32

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

How Many Real Square Roots Does 32 Have?

32 has two real square roots, because the radicand 32 is positive and the index 2 is even.

What to the Second Power Equals 32?

The square root of 32 to the power of 2 equals 32.

How Do You Find the Square Root of 32?

Start with an initial guess such that 2 times that value equals approximately 32, then keep improving the guess until you have the required precision.

What is 32 to the Square Root?

32 to the square root = 32^1/2 = ±5.6568542495.

What Number is the Square Root of 32?

The square root of 32 = ±5.6568542495.

How Do You Solve the Square Root of 32?

To compute the 2nd root of 32 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 32?

The value of 2 root 32 is ±5.6568542495.

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.

Summary

To sum up, the square roots of 32 are ±5.6568542495; the positive real value is the principal.

Finding the second root of the number 32 is the inverse operation of rising the ²√32 to the power of 2. That is to say, (±5.6568542495)2 = 32.


Further information about the root of a number like ²√32 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√32 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 32 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.

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