Simplify : \[ \frac{[(\sqrt{2}+i \sqrt{3})+(\sqrt{2}-i \sqrt{3})]}{[(\sqrt{3}+i \sqrt{2})+(\sqrt...

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Simplify :
\[
\frac{[(\sqrt{2}+i \sqrt{3})+(\sqrt{2}-i \sqrt{3})]}{[(\sqrt{3}+i \sqrt{2})+(\sqrt{3}-i \sqrt{2})]}
\]
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