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 \sqrt[2]{400} 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:

Square Root Calculator

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\sqrt[2]{400} = \pm20This Square Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the square root of four hundred, then you are right here, too.

The term can be written as \sqrt[2]{400} \hspace{3 mm}or\hspace{3 mm} 400^{1/2}.

As the index 2 is even and 400 is greater than 0, 400 has two real square roots: \sqrt[2]{400}, which is positive and called principal square root of 400, and −\sqrt[2]{400}, which is negative.

Together, they are denominated as ±\sqrt[2]{400}.

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.

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:\underbrace{ {\rm \sqrt[2]{400} \times\thinspace ... \times\thinspace \sqrt[2]{400}} }_{\rm 2 \thickspace times} = \sqrt[2]{400}^{2}= 400In 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.

  • \sqrt[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 \sqrt[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 \sqrt[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.

Table

The aim of this table is to provide you with an overview of the nth roots of 400.
IndexRadicandRootSymbolValue
2400Square Root of 400\sqrt[2]{400}±20
3400Cube Root of 400\sqrt[3]{400}7.3680629973
4400Forth Root of 400\sqrt[4]{400}±4.472135955
5400Fifth Root of 400\sqrt[5]{400}3.3144540173
6400Sixth Root of 400\sqrt[6]{400}±2.7144176166
7400Seventh Root of 400\sqrt[7]{400}2.3535468937
8400Eight Root of 400\sqrt[8]{400}±2.1147425269
9400Nineth Root of 400\sqrt[9]{400}1.9458877176
10400Tenth Root of 400\sqrt[10]{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.

Right below you can find the frequently asked questions in the context.

FAQs About the Square Root of 400

How Many Real Square Roots Does 400 Have?

400 has two real square roots, because the radicand 400 is positive and the index 2 is even.

What to the Second Power Equals 400?

The square root of 400 to the power of 2 equals 400.

How Do You Find the Square Root of 400?

Start with an initial guess such that 2 times that value equals approximately 400, then keep improving the guess until you have the required precision.

What is 400 to the Square Root?

400 to the square root = 400^1/2 = ±20.

What Number is the Square Root of 400?

The square root of 400 = ±20.

How Do You Solve the Square Root of 400?

To compute the 2nd root of 400 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 400?

The value of 2 root 400 is ±20.



Ahead is the wrap-up of our information.

Summary

To sum up, the square roots of 400 are ±20.

Finding the second root of the number 400 is the inverse operation of rising the \sqrt[2]{400} to the power of 2. That is to say, (±20)2 = 400.

Square Root of 400
Further information related to \sqrt[2]{400} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[2]{400} by means of the search form in the menu and in the sidebar of this site.

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