Đáp án:
$\begin{array}{l}
\dfrac{3}{4}\sqrt 2 \left( {\dfrac{4}{3}\sqrt 8 - \dfrac{2}{3}\sqrt {32} - 4\sqrt {18} } \right)\\
= \dfrac{3}{4}\sqrt 2 .\left( {\dfrac{4}{3}.2\sqrt 2 - \dfrac{2}{3}.4\sqrt 2 - 4.3\sqrt 2 } \right)\\
= \dfrac{3}{4}\sqrt 2 .\left( {\dfrac{8}{3}\sqrt 2 - \dfrac{8}{3}\sqrt 2 - 12\sqrt 2 } \right)\\
= \dfrac{3}{4}\sqrt 2 .\left( { - 12\sqrt 2 } \right)\\
= - 9.2\\
= - 18
\end{array}$