Home » Square Roots » Square Root of 400

Square Root of 400

The square root of 400 is the number, which multiplied by itself 2 times, is 400. In other words, this number to the power of 2 equals 400.

Besides the real values of

along with an explanation, on this page you can also find what the elements of the square root of 400 are called.

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



²√400 = ±20
If you have been looking for the square root of four hundred, then you are right here, too.

Second Root of 400

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

The term can be written as ²√400 or 400^1/2.

As the index 2 is even and 400 is greater than 0, 400 has two real square roots:

²√400, which is positive and called principal square root of 400, and -²√400 which is negative.

Together, they are denominated as

Although the principal square root of four hundred is only one of the two square roots, the term “square root of 400” 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 400

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 400?

You already have the answer to that question, and you also know about the inverse operation of 400 square root.

Keep reading to learn what the parts are called.

  • ²√400 is the square root of 400 symbol
  • 2 is the index
  • 400 = radicand; the radicand is the number below the radical sign
  • Square root = ±20
  • √ is called radical symbol or radical only

Second root of 400 = ±20

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

Now you really know all about ²√400, 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. 400); the calculation is done automatically.

If you like our information about ²√400, then a similar square root you may be interested in is, for example: square root of 402.

In the following table you can find the n-th root of 400 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 400.

2400Square Root of 400²√400±20
3400Cube Root of 400³√4007.3680629973
4400Forth Root of 400⁴√400±4.472135955
5400Fifth Root of 400⁵√4003.3144540173
6400Sixth Root of 400⁶√400±2.7144176166
7400Seventh Root of 400⁷√4002.3535468937
8400Eight Root of 400⁸√400±2.1147425269
9400Nineth Root of 400⁹√4001.9458877176
10400Tenth Root of 400¹⁰√400±1.820564203

A few lines down from here we review the FAQs.

Square Root of Four Hundred

If you have been searching for what’s the square root of four hundred or 2nd root of 400, then you are reading the right post as well.

The same is true if you typed 2 root of 400 or 400 2 root in the search engine of your preference, just to name a few similar terms.

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 400 are ±20; the positive real value is the principal.

Finding the second root of the number 400 is the inverse operation of rising the ²√400 to the power of 2. That is to say, (±20)2 = 400.

Further information about the root of a number like ²√400 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√400 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 400 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 400, fill in the comment form below.

Websites which are related to this one can be found in the “recommended sites” section in the sidebar.

Last, but not least, don’t forget to install our absolutely free PWA app (see menu or sidebar), or to bookmark us.

And come back soon!

Thanks for your visit.

– Article written by Mark, last updated on November 26th, 2023