Square Root of 300

The square root of 300 is the number, which multiplied by itself 2 times, is 300. In other words, this number to the power of 2 equals 300.

Besides the real values of \sqrt[2]{300} along with an explanation, on this page you can also find what the elements of the square root of 300 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]{300} = \pm17.3205080757This Square Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the square root of three hundred, then you are right here, too.

The term can be written as \sqrt[2]{300} \hspace{3 mm}or\hspace{3 mm} 300^{1/2}.

As the index 2 is even and 300 is greater than 0, 300 has two real square roots: \sqrt[2]{300}, which is positive and called principal square root of 300, and −\sqrt[2]{300}, which is negative.

Together, they are denominated as ±\sqrt[2]{300}.

Although the principal square root of three hundred is only one of the two square roots, the term “square root of 300” 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 300

Extracting the square root is the inverse operation of ^2:\underbrace{ {\rm \sqrt[2]{300} \times\thinspace ... \times\thinspace \sqrt[2]{300}} }_{\rm 2 \thickspace times} = \sqrt[2]{300}^{2}= 300In the following paragraph, we are going to name the elements of this √.

What is the Square Root of 300?

You already have the answer to that question, and you also know about the inverse operation of 300 square root.

Keep reading to learn what the parts are called.

  • \sqrt[2]{300} is the square root of 300 symbol
  • 2 is the index
  • 300 = radicand; the radicand is the number below the radical sign
  • Square root = ±17.3205080757
  • √ is called radical symbol or radical only

Second root of 300 = ±17.3205080757

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

Now you really know all about \sqrt[2]{300}, 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. 300); the calculation is done automatically.

If you like our information about \sqrt[2]{300}, then a similar square root you may be interested in is, for example: square root of 302.

In the following table you can find the n-th root of 300 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 300.
IndexRadicandRootSymbolValue
2300Square Root of 300\sqrt[2]{300}±17.3205080757
3300Cube Root of 300\sqrt[3]{300}6.6943295008
4300Forth Root of 300\sqrt[4]{300}±4.1617914503
5300Fifth Root of 300\sqrt[5]{300}3.1291346445
6300Sixth Root of 300\sqrt[6]{300}±2.5873402368
7300Seventh Root of 300\sqrt[7]{300}2.2587827631
8300Eight Root of 300\sqrt[8]{300}±2.0400469236
9300Nineth Root of 300\sqrt[9]{300}1.8846716378
10300Tenth Root of 300\sqrt[10]{300}±1.7689360205
A few lines down from here we review the FAQs.

Square Root of Three Hundred

If you have been searching for what's the square root of three hundred or 2nd root of 300, then you are reading the right post as well.

The same is true if you typed 2 root of 300 or 300 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 300

How Many Real Square Roots Does 300 Have?

300 has two real square roots, because the radicand 300 is positive and the index 2 is even.

What to the Second Power Equals 300?

The square root of 300 to the power of 2 equals 300.

How Do You Find the Square Root of 300?

Start with an initial guess such that 2 times that value equals approximately 300, then keep improving the guess until you have the required precision.

What is 300 to the Square Root?

300 to the square root = 300^1/2 = ±17.3205080757.

What Number is the Square Root of 300?

The square root of 300 = ±17.3205080757.

How Do You Solve the Square Root of 300?

To compute the 2nd root of 300 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 300?

The value of 2 root 300 is ±17.3205080757.



Ahead is the wrap-up of our information.

Summary

To sum up, the square roots of 300 are ±17.3205080757.

Finding the second root of the number 300 is the inverse operation of rising the \sqrt[2]{300} to the power of 2. That is to say, (±17.3205080757)2 = 300.

Square Root of 300
Further information related to \sqrt[2]{300} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[2]{300} by means of the search form in the menu and in the sidebar of this site.

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