With help of Latex, when the root symbol is used in a science document, you need to call `\sqrt`

command.

And you have to pass two arguments in this `\sqrt`

command, one is **value of root** and other is ** 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 command will be

For example, if we want to define square root of x with the help of latex, then `x`

has to be passed to `\sqrt`

command as an expression and there is no need to give the value of 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.