Plot the solutions of $\displaystyle z^2 = -2 + \sqrt{12}i$ on an Argand diagram

Attempt:

I found 2 solutions:

$\displaystyle z = \sqrt{2(-1 + i\sqrt{3})}$

$\displaystyle z = -\sqrt{2(-1 +i\sqrt{3})}$

but I am not sure what I am suppose to do next