Question

$\frac{3}{5 - \sqrt{3} } + \frac{?2}{5 + \sqrt{3} }$
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Answer 1

Answer:

✯Required Question :-

$\tt \ \frac{3}{5 - \sqrt{3} } + \frac{2}{5 + \sqrt{3} }$

✯Required Answer

$\tt \ \frac{3}{5 - \sqrt{3} } + \frac{2}{5 + \sqrt{3} } = \frac{3(5 + \sqrt{3}) + 2(5 - \sqrt{3} ) }{(5 - \sqrt{3)} (5 + \sqrt{3)} }$

$\tt \ \frac{= 15 +3 \sqrt{3} + 10 - 2 \sqrt{3} }{25 - 3}$

$\tt \pink{= \frac{25 + \sqrt{3} }{22} }$