It can be used to take the root of any value. In today’s discussion, we will be taking a cube root of some of the values. We will be starting our today’s article with the launch of Ubuntu’s shell with the “Ctrl+Alt+T”.

Make sure you have latex and its editor texmaker already configured at your end. Start the texmaker editor to create latex code files and use them in the other formats.

After the texmaker is launched quickly on your Ubuntu desktop, try creating a new latex file within it. You have to expand the “File” option from the taskbar and click on the Create/New option to add one. Try opening it with the “Open” option within the “File” section if you already have one.

We have been launching the already existing latex file from our Linux system, i.e., test.tex. Tap on the “open” button from this screen to launch it within the texmaker editor tool.

## Example 01:

Let’s start our very first example for today’s article. We will start from the very basic one. We will make you learn how to take a square root of some value written in the latex code file.

Prepare your latex document by using the \documentclass command first. After this, use the \begin command using the {document} argument to show that the file has been started. Within the \begin and \end command, we have used some text as “Z=” along with the “$” sign.

This “$” sign indicates that we will use some mathematical expression with the help of the backslash command. This time, we have been using the \sqrt command to create a square root of the value “3”. Now, we have to make this code executed and compiled.

Use the arrow sign from the texmaker to do so. Open this latex file in the DVI file format with the next arrow.

\begin{document}

Z=$\sqrt{3}$

\end{document}

The latex code file displays the text and mathematical expression as demonstrated in the image below. It shows a square root sign on the value “3”.

As we know that the cube means “3”. This means we have to take a cube root of some value. The square root means “1/2” while the cube root means “1/3”. Therefore, to show a mathematical expression in a cube root format, we need to use two arguments in the \sqrt command.

We used the first value, “3” in [] brackets. This will be utilized at the root of a value, i.e., cube root. The other value in curly brackets will be the base value, i.e. {5}. Let’s run this simple latex code and open the code file in the DVI format of latex.

\begin{document}

Z=$\sqrt[3]{5}$

\end{document}

On opening the latex file within the DVI document format, we have got the cube root of value “5” in a standard mathematical expression.

## Example 02:

You can also take a cube root of any fractional value expression in the latex documents. For this, we need to update the old latex file once again. Therefore, we have started the \sqrt command with the root value [3].

In the curly brackets, we have to add the fractional value within the \frac command as {a}{b}. Meanwhile, all this expression must be written within the “$” sign. Let’s again execute and run this file to see the output.

\begin{document}

Z=$\sqrt[3]{\frac{a}{b}}$

\end{document}

The file displays the cube root of fractional value “a/b” in a standard mathematical form.

Let’s change the latex file code a little. The \sqrt command has been using the very same [root]{base} format of a mathematical expression to take root. We have been using the same root value [3] as a cube root in this mathematical expression.

The value in curly brackets is {a-b} to show the base of the mathematical expression. The expression has been used within the $ sign at both ends. Let’s execute this code once again to see what happens.

\begin{document}

Z=$\sqrt[3]{a-b}$

\end{document}

Now, the DVI output file shows the cube root, i.e., 3 of value a-b in this mathematical expression presented on our screen.

## Example 03:

Let’s take our last example for this article of making cube roots of values. Thus, we have to use the same \sqrt command with the “$” signs at both the start and end of it.

We have been using [3] arguments as a root value. The next argument in curly brackets has been using the \frac command 2 times to create 2 fractional values separated from one another using the “+” sign in the code file.

Make sure to execute this code first before running it in the DVI format.

\begin{document}

Z=$\sqrt[3]{{\frac{a-b}{x}}+{\frac{a+b}{x}}}$

\end{document}

On running this latex file, we have got the whole mathematical expression under the cube root as presented below.

## Conclusion:

We had given our immense amount of hard work to make this article easy to learn, understand, and use in the latex tool for Linux users. All the example codes are equally operational on other operating systems using the Latex tool. We greatly hope that our users will learn a lot from this article about latex, cube root, and simple root without any issues. We have added three examples to make our users understand about taking cube root using latex.