Square Root of 125

The square root of 125 is the number, which multiplied by itself 2 times, is 125. In other words, this number to the power of 2 equals 125.

Besides the real values of \sqrt[2]{125} along with an explanation, on this page you can also find what the elements of the square root of 125 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]{125} = \pm11.1803398875This Square Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the square root of one hundred twenty-five, then you are right here, too.

The term can be written as \sqrt[2]{125} \hspace{3 mm}or\hspace{3 mm} 125^{1/2}.

As the index 2 is even and 125 is greater than 0, 125 has two real square roots: \sqrt[2]{125}, which is positive and called principal square root of 125, and −\sqrt[2]{125}, which is negative.

Together, they are denominated as ±\sqrt[2]{125}.

Although the principal square root of one hundred twenty-five is only one of the two square roots, the term “square root of 125” 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 125

Extracting the square root is the inverse operation of ^2:\underbrace{ {\rm \sqrt[2]{125} \times\thinspace ... \times\thinspace \sqrt[2]{125}} }_{\rm 2 \thickspace times} = \sqrt[2]{125}^{2}= 125In the following paragraph, we are going to name the elements of this √.

What is the Square Root of 125?

You already have the answer to that question, and you also know about the inverse operation of 125 square root.

Keep reading to learn what the parts are called.

  • \sqrt[2]{125} is the square root of 125 symbol
  • 2 is the index
  • 125 = radicand; the radicand is the number below the radical sign
  • Square root = ±11.1803398875
  • √ is called radical symbol or radical only

Second root of 125 = ±11.1803398875

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

Now you really know all about \sqrt[2]{125}, 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. 125); the calculation is done automatically.

If you like our information about \sqrt[2]{125}, then a similar square root you may be interested in is, for example: square root of 127.

In the following table you can find the n-th root of 125 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 125.
2125Square Root of 125\sqrt[2]{125}±11.1803398875
3125Cube Root of 125\sqrt[3]{125}5
4125Forth Root of 125\sqrt[4]{125}±3.3437015249
5125Fifth Root of 125\sqrt[5]{125}2.6265278044
6125Sixth Root of 125\sqrt[6]{125}±2.2360679775
7125Seventh Root of 125\sqrt[7]{125}1.9932353156
8125Eight Root of 125\sqrt[8]{125}±1.8285791
9125Nineth Root of 125\sqrt[9]{125}1.7099759467
10125Tenth Root of 125\sqrt[10]{125}±1.6206565967
A few lines down from here we review the FAQs.

Square Root of One Hundred Twenty-Five

If you have been searching for what's the square root of one hundred twenty-five or 2nd root of 125, then you are reading the right post as well.

The same is true if you typed 2 root of 125 or 125 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 125

How Many Real Square Roots Does 125 Have?

125 has two real square roots, because the radicand 125 is positive and the index 2 is even.

What to the Second Power Equals 125?

The square root of 125 to the power of 2 equals 125.

How Do You Find the Square Root of 125?

Start with an initial guess such that 2 times that value equals approximately 125, then keep improving the guess until you have the required precision.

What is 125 to the Square Root?

125 to the square root = 125^1/2 = ±11.1803398875.

What Number is the Square Root of 125?

The square root of 125 = ±11.1803398875.

How Do You Solve the Square Root of 125?

To compute the 2nd root of 125 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 125?

The value of 2 root 125 is ±11.1803398875.

Ahead is the wrap-up of our information.


To sum up, the square roots of 125 are ±11.1803398875.

Finding the second root of the number 125 is the inverse operation of rising the \sqrt[2]{125} to the power of 2. That is to say, (±11.1803398875)2 = 125.

Square Root of 125
Further information related to \sqrt[2]{125} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[2]{125} by means of the search form in the menu and in the sidebar of this site.

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