Answer
$2=2+0i$
Work Step by Step
$\displaystyle \frac{2+\sqrt{-8}}{1+\sqrt{-2}}=\frac{2+2\sqrt{2}i}{1+\sqrt{2}i}=\frac{2(1+i\sqrt{2})}{1+i\sqrt{2}}=2=2+0i$
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