Answer
$22\sqrt3$
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*}
&=10\sqrt{9(3)}-4\sqrt{4(3)}\\
&=10\sqrt{3^2(3)}-4\sqrt{2^2(3)}
\end{align*}
Simplify each radical to obtain:
\begin{align*}
&=10(3)\sqrt{3}-4(2)\sqrt{3}\\
&=30\sqrt3 - 8\sqrt3
\end{align*}
Combine like terms:
\begin{align*}
&=(30-8)(\sqrt3)\\
&=22\sqrt3
\end{align*}
