Answer
$7\sqrt{2}
\text{ units OR }\approx
9.899
\text{ units}$
Work Step by Step
Using the Distance Formula, $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$, the distance between the given points is
\begin{array}{l}
\sqrt{(-\sqrt{2}-0)^2+(0-(-4\sqrt{6}))^2}
\\\\=
\sqrt{2+96}
\\\\=
\sqrt{98}
\\\\=
\sqrt{49\cdot2}
\\\\=
7\sqrt{2}
\text{ units OR }\approx
9.899
\text{ units}
.\end{array}
