Square Root of 420

The square root of 420 is the number, which multiplied by itself 2 times, is 420. In other words, this number to the power of 2 equals 420.

Besides the real values of \sqrt[2]{420} along with an explanation, on this page you can also find what the elements of the square root of 420 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]{420} = \pm20.4939015319This Square Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the square root of four hundred twenty, then you are right here, too.

The term can be written as \sqrt[2]{420} \hspace{3 mm}or\hspace{3 mm} 420^{1/2}.

As the index 2 is even and 420 is greater than 0, 420 has two real square roots: \sqrt[2]{420}, which is positive and called principal square root of 420, and −\sqrt[2]{420}, which is negative.

Together, they are denominated as ±\sqrt[2]{420}.

Although the principal square root of four hundred twenty is only one of the two square roots, the term “square root of 420” 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 420

Extracting the square root is the inverse operation of ^2:\underbrace{ {\rm \sqrt[2]{420} \times\thinspace ... \times\thinspace \sqrt[2]{420}} }_{\rm 2 \thickspace times} = \sqrt[2]{420}^{2}= 420In the following paragraph, we are going to name the elements of this √.

What is the Square Root of 420?

You already have the answer to that question, and you also know about the inverse operation of 420 square root.

Keep reading to learn what the parts are called.

  • \sqrt[2]{420} is the square root of 420 symbol
  • 2 is the index
  • 420 = radicand; the radicand is the number below the radical sign
  • Square root = ±20.4939015319
  • √ is called radical symbol or radical only

Second root of 420 = ±20.4939015319

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

Now you really know all about \sqrt[2]{420}, 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. 420); the calculation is done automatically.

If you like our information about \sqrt[2]{420}, then a similar square root you may be interested in is, for example: square root of 422.

In the following table you can find the n-th root of 420 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 420.
2420Square Root of 420\sqrt[2]{420}±20.4939015319
3420Cube Root of 420\sqrt[3]{420}7.4888723872
4420Forth Root of 420\sqrt[4]{420}±4.5270190558
5420Fifth Root of 420\sqrt[5]{420}3.3469548828
6420Sixth Root of 420\sqrt[6]{420}±2.7365804186
7420Seventh Root of 420\sqrt[7]{420}2.3700084728
8420Eight Root of 420\sqrt[8]{420}±2.1276792653
9420Nineth Root of 420\sqrt[9]{420}1.9564652718
10420Tenth Root of 420\sqrt[10]{420}±1.82946847
A few lines down from here we review the FAQs.

Square Root of Four Hundred Twenty

If you have been searching for what's the square root of four hundred twenty or 2nd root of 420, then you are reading the right post as well.

The same is true if you typed 2 root of 420 or 420 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 420

How Many Real Square Roots Does 420 Have?

420 has two real square roots, because the radicand 420 is positive and the index 2 is even.

What to the Second Power Equals 420?

The square root of 420 to the power of 2 equals 420.

How Do You Find the Square Root of 420?

Start with an initial guess such that 2 times that value equals approximately 420, then keep improving the guess until you have the required precision.

What is 420 to the Square Root?

420 to the square root = 420^1/2 = ±20.4939015319.

What Number is the Square Root of 420?

The square root of 420 = ±20.4939015319.

How Do You Solve the Square Root of 420?

To compute the 2nd root of 420 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 420?

The value of 2 root 420 is ±20.4939015319.

Ahead is the wrap-up of our information.


To sum up, the square roots of 420 are ±20.4939015319.

Finding the second root of the number 420 is the inverse operation of rising the \sqrt[2]{420} to the power of 2. That is to say, (±20.4939015319)2 = 420.

Square Root of 420
Further information related to \sqrt[2]{420} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[2]{420} by means of the search form in the menu and in the sidebar of this site.

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