Question

simplify.
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Answer 1

the answer is 13.366/11

Answer 2

Simplify:

Step-by-step explanation:

$\ Given \ value:\\\\\frac{3}{5-\sqrt{3}} \ + \frac{3}{5+\sqrt{3}} \\\\\ Solution:$

$\rightarrow \frac{3}{5-\sqrt{3}} \times \frac{5+\sqrt{3}}{5+\sqrt{3}} \ \ + \ \frac{3}{5+\sqrt{3}} \times \frac{5-\sqrt{3}}{5-\sqrt{3}} \\\\\rightarrow \frac{3(5+\sqrt{3})}{(5)^2-(\sqrt{3})^2} \ \ + \ \frac{3(5-\sqrt{3})}{(5)^2-(\sqrt{3})^2}\\\\\rightarrow \frac{(15+3\sqrt{3})}{25-3} \ \ + \ \frac{(15-3\sqrt{3})}{25-3}\\\\\rightarrow \frac{(15+3\sqrt{3})}{22} \ \ + \ \frac{(15-3\sqrt{3})}{22}$

$\rightarrow \frac{15+3\sqrt{3}+15-3\sqrt{3}}{22}\\\\\rightarrow \frac{15+15}{22}\\\\\rightarrow \frac{30}{22}\\\\\rightarrow \frac{15}{11}\\\\\rightarrow \ 1.36$

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