Question

please answer the question ​

Answer 1

Answer:

$\frac{3}{5 - \sqrt{3} } + \frac{2}{5 + \sqrt{3} } \\ \\ \frac{3 + 2}{(5) ^{2} - ( \sqrt{3) ^{2} } } \\ \\ \frac{5}{25 - 3} \\ \\ \frac{5}{22}$

Answer 2

$\huge\bf \orange{Solution :}$

$\tt \implies \dfrac{3}{5 - \sqrt{3} } + \dfrac{2}{5 + \sqrt{3} }$

$\tt \implies \dfrac{15 + 3 \sqrt{3} + 10 - 2 \sqrt{3} }{( \: 5 - \sqrt{3} \: )( \: 5 + \sqrt{3} \: ) }$

$\tt \implies \dfrac{25 + 3 \sqrt{3} - 2 \sqrt{3} }{ {(5)}^{2} - {( \sqrt{3}) }^{2} }$

$\tt \implies \dfrac{25 + 3 \sqrt{3} - 2 \sqrt{3} }{25 - 3 }$

$\tt \implies \dfrac{25 + 3 \sqrt{3} - 2 \sqrt{3} }{22}$