Question

Simplify this is question ​

Answer 1

Here's the Answer :

$\frac{ (\sqrt{2} + i \sqrt{3}) + (\sqrt{2 } - i \sqrt{3} )}{ (\sqrt{3} + i \sqrt{2} ) + ( \sqrt{3} - i \sqrt{3}) } \\ \\ = \frac{ \sqrt{2} + i \sqrt{3 } + \sqrt{2} - i \sqrt{3} }{ \sqrt{3} + i \sqrt{2} + \sqrt{3} - i \sqrt{2} } \\ \\ = \frac{ \sqrt{2} + \sqrt{2} }{ \sqrt{3} + \sqrt{3} } \\ \\ = \frac{2 \sqrt{2} }{2 \sqrt{3} }$

= √2/√3

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