Square Root of 402

The square root of 402 is the number, which multiplied by itself 2 times, is 402. In other words, this number to the power of 2 equals 402.

Besides the real values of \sqrt[2]{402} along with an explanation, on this page you can also find what the elements of the square root of 402 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]{402} = \pm20.0499376558This Square Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the square root of four hundred two, then you are right here, too.

The term can be written as \sqrt[2]{402} \hspace{3 mm}or\hspace{3 mm} 402^{1/2}.

As the index 2 is even and 402 is greater than 0, 402 has two real square roots: \sqrt[2]{402}, which is positive and called principal square root of 402, and −\sqrt[2]{402}, which is negative.

Together, they are denominated as ±\sqrt[2]{402}.

Although the principal square root of four hundred two is only one of the two square roots, the term “square root of 402” 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 402

Extracting the square root is the inverse operation of ^2:\underbrace{ {\rm \sqrt[2]{402} \times\thinspace ... \times\thinspace \sqrt[2]{402}} }_{\rm 2 \thickspace times} = \sqrt[2]{402}^{2}= 402In the following paragraph, we are going to name the elements of this √.

What is the Square Root of 402?

You already have the answer to that question, and you also know about the inverse operation of 402 square root.

Keep reading to learn what the parts are called.

  • \sqrt[2]{402} is the square root of 402 symbol
  • 2 is the index
  • 402 = radicand; the radicand is the number below the radical sign
  • Square root = ±20.0499376558
  • √ is called radical symbol or radical only

Second root of 402 = ±20.0499376558

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

Now you really know all about \sqrt[2]{402}, 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. 402); the calculation is done automatically.

If you like our information about \sqrt[2]{402}, then a similar square root you may be interested in is, for example: square root of 404.

In the following table you can find the n-th root of 402 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 402.
IndexRadicandRootSymbolValue
2402Square Root of 402\sqrt[2]{402}±20.0499376558
3402Cube Root of 402\sqrt[3]{402}7.3803226921
4402Forth Root of 402\sqrt[4]{402}±4.4777156738
5402Fifth Root of 402\sqrt[5]{402}3.3177618623
6402Sixth Root of 402\sqrt[6]{402}±2.7166749331
7402Seventh Root of 402\sqrt[7]{402}2.3552244073
8402Eight Root of 402\sqrt[8]{402}±2.1160613587
9402Nineth Root of 402\sqrt[9]{402}1.9469663715
10402Tenth Root of 402\sqrt[10]{402}±1.8214724435
A few lines down from here we review the FAQs.

Square Root of Four Hundred Two

If you have been searching for what's the square root of four hundred two or 2nd root of 402, then you are reading the right post as well.

The same is true if you typed 2 root of 402 or 402 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 402

How Many Real Square Roots Does 402 Have?

402 has two real square roots, because the radicand 402 is positive and the index 2 is even.

What to the Second Power Equals 402?

The square root of 402 to the power of 2 equals 402.

How Do You Find the Square Root of 402?

Start with an initial guess such that 2 times that value equals approximately 402, then keep improving the guess until you have the required precision.

What is 402 to the Square Root?

402 to the square root = 402^1/2 = ±20.0499376558.

What Number is the Square Root of 402?

The square root of 402 = ±20.0499376558.

How Do You Solve the Square Root of 402?

To compute the 2nd root of 402 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 402?

The value of 2 root 402 is ±20.0499376558.



Ahead is the wrap-up of our information.

Summary

To sum up, the square roots of 402 are ±20.0499376558.

Finding the second root of the number 402 is the inverse operation of rising the \sqrt[2]{402} to the power of 2. That is to say, (±20.0499376558)2 = 402.

Square Root of 402
Further information related to \sqrt[2]{402} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[2]{402} by means of the search form in the menu and in the sidebar of this site.

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