Correct Answer: Option C

Explanation

\(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\)  = x + y\(\sqrt{15}\)

cross multiply to have: \(\sqrt{3}\) + \(\sqrt{5}\) =  x\(\sqrt{5}\) + 5y\(\sqrt{3}\)

Collect like roots :   x\(\sqrt{5}\) =  \(\sqrt{5}\) → x = 1

                                5y\(\sqrt{3}\) =  \(\sqrt{3}\) → y = \(\frac{1}{5}\)

∴ ( x + y ) = 1 + \(\frac{1}{5}\)

= 1\(\frac{1}{5}\)

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