Answer
The rectangular form is $\frac{\sqrt{6}}{2}$ $- \frac{\sqrt{6}}{2} i$
Work Step by Step
$\sqrt{3}$ $cis$ $315^\circ$
= $\sqrt{3}$ $(cos 315^\circ$ + $isin 315^\circ)$
= $\sqrt{3} \cdot \frac{\sqrt{2}}{2}$ + $\sqrt{3} \cdot i \cdot (-
\frac{\sqrt{2}}{2})$
= $\frac{\sqrt{6}}{2}$ $- \frac{\sqrt{6}}{2} i$
The rectangular form is $\frac{\sqrt{6}}{2}$ $- \frac{\sqrt{6}}{2} i$
