Answer
$\sqrt 17\approx4.123$ units
Work Step by Step
We know that the distance $d$ between two points $(x_{1},y_{1})$ and $x_{2},y_{2})$ is given by $d=\sqrt ((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})$.
Therefore, the distance between $(-5,-2)$ and $(-6,-6)$ will be $d=\sqrt ((-6-(-5))^{2}+(-6-(-2))^{2})=\sqrt ((-1)^{2}+(-4)^{2})=\sqrt (1+16)=\sqrt 17\approx4.123$ units