# Square Root of 123

The square root of 123 is the number, which multiplied by itself 2 times, is 123. In other words, this number to the power of 2 equals 123.

Besides the real values of \sqrt{123} along with an explanation, on this page you can also find what the elements of the square root of 123 are called.

In addition to the terminology, we have a calculator you don’t want to miss:

## Square Root Calculator \sqrt{123} = \pm11.0905365064If you have been looking for the square root of one hundred twenty-three, then you are right here, too.

The term can be written as \sqrt{123} \hspace{3 mm}or\hspace{3 mm} 123^{1/2}.

As the index 2 is even and 123 is greater than 0, 123 has two real square roots: \sqrt{123}, which is positive and called principal square root of 123, and −\sqrt{123}, which is negative.

Together, they are denominated as ±\sqrt{123}.

Although the principal square root of one hundred twenty-three is only one of the two square roots, the term “square root of 123” 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 123

Extracting the square root is the inverse operation of ^2:\underbrace{ {\rm \sqrt{123} \times\thinspace ... \times\thinspace \sqrt{123}} }_{\rm 2 \thickspace times} = \sqrt{123}^{2}= 123In the following paragraph, we are going to name the elements of this √.

## What is the Square Root of 123?

You already have the answer to that question, and you also know about the inverse operation of 123 square root.

Keep reading to learn what the parts are called.

• \sqrt{123} is the square root of 123 symbol
• 2 is the index
• Square root = ±11.0905365064

Second root of 123 = ±11.0905365064

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

Now you really know all about \sqrt{123}, 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. 123); the calculation is done automatically.

If you like our information about \sqrt{123}, then a similar square root you may be interested in is, for example: square root of 125.

In the following table you can find the n-th root of 123 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 123.
2123Square Root of 123\sqrt{123}±11.0905365064
3123Cube Root of 123\sqrt{123}4.9731898333
4123Forth Root of 123\sqrt{123}±3.3302457126
5123Fifth Root of 123\sqrt{123}2.6180686019
6123Sixth Root of 123\sqrt{123}±2.2300649841
7123Seventh Root of 123\sqrt{123}1.9886477953
8123Eight Root of 123\sqrt{123}±1.8248960827
9123Nineth Root of 123\sqrt{123}1.7069141516
10123Tenth Root of 123\sqrt{123}±1.6180446848
A few lines down from here we review the FAQs.

## Square Root of One Hundred Twenty-Three

If you have been searching for what's the square root of one hundred twenty-three or 2nd root of 123, then you are reading the right post as well.

The same is true if you typed 2 root of 123 or 123 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 123

How Many Real Square Roots Does 123 Have?

123 has two real square roots, because the radicand 123 is positive and the index 2 is even.

What to the Second Power Equals 123?

The square root of 123 to the power of 2 equals 123.

How Do You Find the Square Root of 123?

Start with an initial guess such that 2 times that value equals approximately 123, then keep improving the guess until you have the required precision.

What is 123 to the Square Root?

123 to the square root = 123^1/2 = ±11.0905365064.

What Number is the Square Root of 123?

The square root of 123 = ±11.0905365064.

How Do You Solve the Square Root of 123?

To compute the 2nd root of 123 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 2 Root 123?

The value of 2 root 123 is ±11.0905365064.

Ahead is the wrap-up of our information.

## Summary

To sum up, the square roots of 123 are ±11.0905365064.

Finding the second root of the number 123 is the inverse operation of rising the \sqrt{123} to the power of 2. That is to say, (±11.0905365064)2 = 123. Further information related to \sqrt{123} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt{123} by means of the search form in the menu and in the sidebar of this site.

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