#### Answer

$2\sqrt {11}$ units $\approx6.633$ units

#### Work Step by Step

Let $P=(x_{1},y_{1})=(-\sqrt 5,-\sqrt {11})$ and $Q=(x_{2},y_{2})=(-\sqrt 5,-3\sqrt {11})$
Finding the distance between P and Q,
$d(P,Q)=\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})}$
$d(P,Q)=\sqrt {(-\sqrt 5-(-\sqrt 5))^{2}+(-3\sqrt {11}-(-\sqrt {11}))^{2}}$
$d(P,Q)=\sqrt {(-\sqrt 5+\sqrt 5))^{2}+(-3\sqrt {11}+\sqrt {11}))^{2}}$
$d(P,Q)=\sqrt {(0))^{2}+(-2\sqrt {11}))^{2}}$
$d(P,Q)=\sqrt {0+4(11)}$
$d(P,Q)=\sqrt {44}$
$d(P,Q)=\sqrt {4\times11}$
$d(P,Q)=2\sqrt {11}\approx6.633$