Express $\displaystyle z = \frac{\sqrt{2} + \sqrt{6}i}{(\sqrt{3}+i)(\sqrt{2}-\sqrt{6}i)}$ in the form $\displaystyle x+iy$ where $\displaystyle x$ and $\displaystyle y$ are real numbers
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i am getting the answer as
$\displaystyle x+iy = -\frac{\sqrt{72}}{28} + \frac{\sqrt{104}}{28}i$
is it right or wrong if wrong can u give the right one .