With the help of Latex, when the root symbol is used in a science document, you need to call the \sqrt command. And you have to pass two arguments in this \sqrt command, one is the **value of the root** and the other is the** expression.** Notice this syntax below

However, there is no need to add **root value** with \sqrt command in case of square root. Then, the syntax of the command will be

For example, if we want to define the square root of x with the help of latex, then x has to be passed to the \sqrt command as an expression and there is no need to give the value of the root.

```
\documentclass{article}
\begin{document}
$\sqrt{x}$
\end{document}
```

**Output :**

And if you use** nth** root instead of square root then you have to pass n as the value of root.

```
\documentclass{article}
\begin{document}
$\sqrt[n]{x}$
\end{document}
```

**Output :**

## LaTeX square root Example

Below we will discuss some important concepts that you are familiar with. Because when you create a science document with latex, this concept will be useful in most cases.

### 1. Velocity from position vector in LaTeX

Here the value of velocity has to be determined using square root

```
\documentclass{article}
\begin{document}
$v=\sqrt{\left ( \frac{dx}{dt} \right )^{2}+\left ( \frac{dy}{dt} \right )^{2}+
\left ( \frac{dz}{dt} \right )^{2}}$
\end{document}
```

**Output :**

Looking at the output above, you can see that the size of the square root symbol will decrease and increase dynamically according to the size of the expression.

### 2. Root of quadratic equation

You all know how to write the root of quadratic equation! Suppose, if the quadratic equation is ax²+bx+c, then root will be

```
\documentclass{article}
\begin{document}
$\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
\end{document}
```

**Output :**

### 3. Momentum from Kinetic energy

You also need to use the square root symbol when determining the momentum from kinetic energy.

```
\documentclass{article}
\begin{document}
$p=\sqrt{2mK}$
\end{document}
```

**Output :**

### 4. Space-time equation

You all know that the Theory of Relativity has been given an important equation over time

```
\documentclass{article}
\begin{document}
$t'=\frac{t}{\sqrt{1-\frac{v^2}{c^2}}}$
\end{document}
```

**Output :**

Notice that the Latex \sqrt command will always return a square root symbol with dynamic size. And with this command, you just have to pass the expression.