Answer
$26\sqrt{5x}$
Work Step by Step
Factor each radicand (expression inside the radical sign) so that one of the factors is a perfect square to obtain:
\begin{align*}
&=3\sqrt{4(5x)}+8\sqrt{9(5x)}-4\sqrt{5x}\\
&=3\sqrt{2^2(5x)}+8\sqrt{3^2(5x)}-4\sqrt{5x}\\
\end{align*}
Simplify each radical to obtain:
\begin{align*}
&=3(2)\sqrt{5x}+8(3)\sqrt{5x}-4\sqrt{5x}\\
&=6\sqrt{5x}+24\sqrt{5x}-4\sqrt{5x}\\
\end{align*}
Combine like terms:
\begin{align*}
&=(6+24-4)(\sqrt{5x})\\
&=26\sqrt{5x}
\end{align*}
