Answer
$$-4\sqrt2$$
Work Step by Step
RECALL:
(1) For any real numbers $a \ge 0, b\ge0$, $\sqrt{ab}=\sqrt{a} \cdot \sqrt{b}$
(2) For any real numbers $a \ge 0, b\gt 0$, $\sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}$
Note that $32=16(2)$.
Thus, using rule (1) above gives:
\begin{align*}
-\sqrt{32}&=-\sqrt{16(2)}\\
&=-\sqrt{16} \cdot \sqrt2\\
&=-4\sqrt2
\end{align*}