Answer
The graph shows that the functions are not identical.
Work Step by Step
Given
\begin{equation}
\begin{aligned}
& x \sqrt{8}+x \sqrt{2}=x \sqrt{10} \\
& {[-5,5,1] \text { by }[-15,15,1]}
\end{aligned}
\end{equation}
Let
\begin{equation}
\begin{aligned}
f(x) &= x\sqrt{8}+x \sqrt{2}\\
g(x)& = x\sqrt{10}\\
\end{aligned}
\end{equation}
The graph shows that the functions are not identical.
They will be the same if we choose:
\begin{equation}
\begin{aligned}
g(x)&=2x\sqrt{2}+x \sqrt{2}\\
& =3x\sqrt{2}
\end{aligned}
\end{equation}