Question

Please give answer with full explanation
I have maths exam on 9 March
Ch - Number Systems
Class 9th
Don't even try to post irrevalent answers otherwise your 10 answers will be reported
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Answer 1

Answer:

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Step-by-step explanation:

$Given: \\ \\ \frac{3}{(5 - \sqrt{3})} + \frac{2}{(5 + \sqrt{3})} \\ \\ --------------- \\ \\ Solution:\\ \\ \frac{3}{(5 - \sqrt{3})} + \frac{2}{(5 + \sqrt{3})} \\ \\ = \left(\frac{3}{5 - \sqrt{3}} \times \frac{5 + \sqrt{3}}{5 + \sqrt{3}}\right) + \left(\frac{2}{5 + \sqrt{3}} \times \frac{5 - \sqrt{3}}{5 - \sqrt{3}}\right) \\ \\ =\frac{15 + 3 \sqrt{3}}{25 - 3} + \frac{10 - 2 \sqrt{3}}{25 - 3} \\ \\ =\frac{(15 + 3 \sqrt{3} + 10 - 2 \sqrt{3})}{22} \\ \\ \Rightarrow \frac{3}{(5 - \sqrt{3})} + \frac{2}{(5 + \sqrt{3})} = \frac{25 + \sqrt{3}}{22}$