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Square Root of 404

The square root of 404 is the number, which multiplied by itself 2 times, is 404. In other words, this number to the power of 2 equals 404.

Besides the real values of


along with an explanation, on this page you can also find what the elements of the square root of 404 are called.

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

Calculator

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²√404 = ±20.0997512422
If you have been looking for the square root of four hundred four, then you are right here, too.

Second Root of 404

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

The term can be written as ²√404 or 404^1/2.

As the index 2 is even and 404 is greater than 0, 404 has two real square roots:

²√404, which is positive and called principal square root of 404, and -²√404 which is negative.

Together, they are denominated as


Although the principal square root of four hundred four is only one of the two square roots, the term “square root of 404” 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 404

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 404?

You already have the answer to that question, and you also know about the inverse operation of 404 square root.

Keep reading to learn what the parts are called.

  • ²√404 is the square root of 404 symbol
  • 2 is the index
  • 404 = radicand; the radicand is the number below the radical sign
  • Square root = ±20.0997512422
  • √ is called radical symbol or radical only

Second root of 404 = ±20.0997512422

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

Now you really know all about ²√404, 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. 404); the calculation is done automatically.

If you like our information about ²√404, then a similar square root you may be interested in is, for example: square root of 406.

In the following table you can find the n-th root of 404 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 404.

IndexRadicandRootSymbolValue
2404Square Root of 404²√404±20.0997512422
3404Cube Root of 404³√4047.3925417917
4404Forth Root of 404⁴√404±4.4832746115
5404Fifth Root of 404⁵√4043.3210565677
6404Sixth Root of 404⁶√404±2.7189229102
7404Seventh Root of 404⁷√4042.3568947826
8404Eight Root of 404⁸√404±2.1173744618
9404Nineth Root of 404⁹√4041.9480402658
10404Tenth Root of 404¹⁰√404±1.8223766262

A few lines down from here we review the FAQs.

Square Root of Four Hundred Four

If you have been searching for what’s the square root of four hundred four or 2nd root of 404, then you are reading the right post as well.

The same is true if you typed 2 root of 404 or 404 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.

Summary

To sum up, the square roots of 404 are ±20.0997512422; the positive real value is the principal.

Finding the second root of the number 404 is the inverse operation of rising the ²√404 to the power of 2. That is to say, (±20.0997512422)2 = 404.


Further information about the root of a number like ²√404 can be found on our page n-th Root.

Note that you can also locate roots of real numbers such as ²√404 by means of the search form in the menu and in the sidebar of this site.

If our article about the square √ 404 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 404, fill in the comment form below.

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