A) 16
B) 8
C) 4
D) \[\sqrt{15}\]
Correct Answer: B
Solution :
\[\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}+\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\] \[=\frac{{{(\sqrt{5}+\sqrt{3})}^{2}}+{{(\sqrt{5}-\sqrt{3})}^{2}}}{{{(\sqrt{5})}^{2}}-{{(\sqrt{3})}^{2}}}\] \[=\frac{2\{{{(\sqrt{5})}^{2}}+{{(\sqrt{3})}^{2}}\}}{5-3}=\frac{2(5+3)}{2}=8\]
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