Square Root of 422

The square root of 422 is the number, which multiplied by itself 2 times, is 422. In other words, this number to the power of 2 equals 422.

Besides the real values of \sqrt[2]{422} along with an explanation, on this page you can also find what the elements of the square root of 422 are called.

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

Square Root Calculator

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\sqrt[2]{422} = \pm20.5426385842This Square Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the square root of four hundred twenty-two, then you are right here, too.

The term can be written as \sqrt[2]{422} \hspace{3 mm}or\hspace{3 mm} 422^{1/2}.

As the index 2 is even and 422 is greater than 0, 422 has two real square roots: \sqrt[2]{422}, which is positive and called principal square root of 422, and −\sqrt[2]{422}, which is negative.

Together, they are denominated as ±\sqrt[2]{422}.

Although the principal square root of four hundred twenty-two is only one of the two square roots, the term “square root of 422” usually refers to the positive number.

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 422

Extracting the square root is the inverse operation of ^2:\underbrace{ {\rm \sqrt[2]{422} \times\thinspace ... \times\thinspace \sqrt[2]{422}} }_{\rm 2 \thickspace times} = \sqrt[2]{422}^{2}= 422In the following paragraph, we are going to name the elements of this √.

What is the Square Root of 422?

You already have the answer to that question, and you also know about the inverse operation of 422 square root.

Keep reading to learn what the parts are called.

  • \sqrt[2]{422} is the square root of 422 symbol
  • 2 is the index
  • 422 = radicand; the radicand is the number below the radical sign
  • Square root = ±20.5426385842
  • √ is called radical symbol or radical only

Second root of 422 = ±20.5426385842

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

Now you really know all about \sqrt[2]{422}, 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. 422); the calculation is done automatically.

If you like our information about \sqrt[2]{422}, then a similar square root you may be interested in is, for example: square root of 424.

In the following table you can find the n-th root of 422 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 422.
2422Square Root of 422\sqrt[2]{422}±20.5426385842
3422Cube Root of 422\sqrt[3]{422}7.5007406676
4422Forth Root of 422\sqrt[4]{422}±4.5323987671
5422Fifth Root of 422\sqrt[5]{422}3.3501364046
6422Sixth Root of 422\sqrt[6]{422}±2.738748011
7422Seventh Root of 422\sqrt[7]{422}2.3716174429
8422Eight Root of 422\sqrt[8]{422}±2.1289431104
9422Nineth Root of 422\sqrt[9]{422}1.9574982544
10422Tenth Root of 422\sqrt[10]{422}±1.8303377843
A few lines down from here we review the FAQs.

Square Root of Four Hundred Twenty-Two

If you have been searching for what's the square root of four hundred twenty-two or 2nd root of 422, then you are reading the right post as well.

The same is true if you typed 2 root of 422 or 422 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 422

How Many Real Square Roots Does 422 Have?

422 has two real square roots, because the radicand 422 is positive and the index 2 is even.

What to the Second Power Equals 422?

The square root of 422 to the power of 2 equals 422.

How Do You Find the Square Root of 422?

Start with an initial guess such that 2 times that value equals approximately 422, then keep improving the guess until you have the required precision.

What is 422 to the Square Root?

422 to the square root = 422^1/2 = ±20.5426385842.

What Number is the Square Root of 422?

The square root of 422 = ±20.5426385842.

How Do You Solve the Square Root of 422?

To compute the 2nd root of 422 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 422?

The value of 2 root 422 is ±20.5426385842.

Ahead is the wrap-up of our information.


To sum up, the square roots of 422 are ±20.5426385842.

Finding the second root of the number 422 is the inverse operation of rising the \sqrt[2]{422} to the power of 2. That is to say, (±20.5426385842)2 = 422.

Square Root of 422
Further information related to \sqrt[2]{422} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[2]{422} by means of the search form in the menu and in the sidebar of this site.

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