Cube Root of 123

The cube root of 123 is the number, which multiplied by itself 3 times, is 123. In other words, this number to the power of 3 equals 123.

Besides the real value of \sqrt[3]{123} along with an explanation, on this page you can also find what the elements of the cube root of 123 are called.

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

Cube Root Calculator

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\sqrt[3]{123} = 4.9731898333This Cube Root Calculator and Information is Really Cool! Click To TweetIf you have been looking for the cube root of one hundred twenty-three, then you are right here, too.

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

As the index 3 is odd, 123 has only one cube real root: \sqrt[3]{123}, sometimes called principal cube root of 123.

If you want to know how to find the value of this root, then read our article Cube Root located in the header menu.

There, we also discuss the properties for index n = 3 by means of examples: multiplication, division, exponentiation etc.

Next, we have a look at the inverse function.

Inverse of Cube Root of 123

Extracting the cube root is the inverse operation of ^3:\underbrace{ {\rm \sqrt[3]{123} \times\thinspace ... \times\thinspace \sqrt[3]{123}} }_{\rm 3 \thickspace times} = \sqrt[3]{123}^{3}= 123In the following paragraph, we are going to name the elements of this ∛.

What is the Cube Root of 123?

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

Keep reading to learn what the parts are called.

  • \sqrt[3]{123} is the cube root of 123 symbol
  • 3 is the index
  • 123 = radicand; the radicand is the number below the radical sign
  • Cube root = 4.9731898333
  • √ is called radical symbol or radical only

Third root of 123 = 4.9731898333

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

Now you really know all about \sqrt[3]{123}, including its values, parts and the inverse.

If you need to extract the 3rd root of any other real number use our calculator above.

Simply insert the number of which you want to find the cube root (e.g. 123); the calculation is done automatically.

If you like our information about \sqrt[3]{123}, then a similar cube root you may be interested in is, for example: cube 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.


The aim of this table is to provide you with an overview of the nth roots of 123.
2123Square Root of 123\sqrt[2]{123}±11.0905365064
3123Cube Root of 123\sqrt[3]{123}4.9731898333
4123Forth Root of 123\sqrt[4]{123}±3.3302457126
5123Fifth Root of 123\sqrt[5]{123}2.6180686019
6123Sixth Root of 123\sqrt[6]{123}±2.2300649841
7123Seventh Root of 123\sqrt[7]{123}1.9886477953
8123Eight Root of 123\sqrt[8]{123}±1.8248960827
9123Nineth Root of 123\sqrt[9]{123}1.7069141516
10123Tenth Root of 123\sqrt[10]{123}±1.6180446848
A few lines down from here we review the FAQs.

Cube Root of One Hundred Twenty-Three

If you have been searching for what's the cube root of one hundred twenty-three or 3rd root of 123, then you are reading the right post as well.

The same is true if you typed 3 root of 123 or 123 3 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 Cube Root of 123

How Many Real Cube Roots Does 123 Have?

123 has one real cube root, because the index 3 is odd.

What to the Third Power Equals 123?

The cube root of 123 to the power of 3 equals 123.

How Do You Find the Cube Root of 123?

Start with an initial guess such that 3 times that value equals approximately 123, then keep improving the guess until you have the required precision.

What is 123 to the Cube Root?

123 to the cube root = 123^1/3 = 4.9731898333.

What Number is the Cube Root of 123?

The cube root of 123 = 4.9731898333.

How Do You Solve the Cube Root of 123?

To compute the 3rd root of 123 use a calculator, and/or employ the Newton–Raphson method.

What is the Value of 3 Root 123?

The value of 3 root 123 is 4.9731898333.

Ahead is the wrap-up of our information.


To sum up, the cube root of 123 is 4.9731898333.

Finding the third root of the number 123 is the inverse operation of rising the \sqrt[3]{123} to the power of 3. That is to say, (4.9731898333)3 = 123.

Cube Root of 123
Further information related to \sqrt[3]{123} can be found on our page n-th Root.

Note that you can also locate roots like \sqrt[3]{123} by means of the search form in the menu and in the sidebar of this site.

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