Answer
The solution of the equation is \[\sqrt{2}\]
Work Step by Step
Consider the equation is:
$\sqrt{18}-\sqrt{8}$.
Re-write the above expression as,
$\begin{align}
& \sqrt{18}-\sqrt{8}=\sqrt{{{3}^{2}}\left( 2 \right)}-\sqrt{{{2}^{2}}\left( 2 \right)} \\
& =3\sqrt{2}-2\sqrt{2} \\
& =\sqrt{2}\left( 3-2 \right) \\
& =\sqrt{2}
\end{align}$
Hence, the solution of the equation is $\sqrt{2}$.