# What is the square root of -1/121?

$\sqrt{- \frac{1}{121}} = \pm \frac{1}{11} i$
$\sqrt{- \frac{1}{121}} = \sqrt{\frac{1}{121}} \cdot \sqrt{- 1}$
$= \pm \frac{1}{\sqrt{121}} \cdot i$
$= \pm \frac{1}{11} i$