Answer
$d = 6$
Work Step by Step
Given two points, $P_1(x_1,y_1,z_1)$ and $P_2(x_2,y_2,z_2)$ , the distance between these two points is given by $d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}$.
In our case, $P_1(3,5,-2)$ and $P_2(-1,1,-4)$. Substituting in our formula, we end up with: $$d=\sqrt{(-1-3)^2 + (1-5)^2 + (-4-(-2))^2} = 6$$
