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.
