Answer
No $\color{red}{ y=2x\sqrt{5}}$ is $\text{NOT}$ a Square root Function
Work Step by Step
$\text{Explanation:}$
A Function that includes a square root $\color {blue} {\surd} $ of an independent variable is known as $\color {red} {\text{Square Root Function}}$.
$\text{For Example:}$
$y=\sqrt x$
Where
$\color {red} {\surd} \Rightarrow $$\color {red} {\text{Square Root}}$
$\color {Green} {x} \Rightarrow $$\color {Green} {\text{Independent Variable}}$
So As per Definition:
$ y=2 \color{red}x\sqrt{5}$
where $x$ is the variable which is $\text{NOT}$ under the Square Root Function, Therefore the Given Function $\color{blue}{ y=2x\sqrt{5}}$ is $\text{NOT}$ a $\color {red} {\text{Square Root Function}}$.