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Questions  >>  Olympiad-Math  >>  Class 10
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If $x=\large\frac{\sqrt 5+\sqrt 3}{\sqrt 5-\sqrt 3}$ and $y=\large\frac{\sqrt 5-\sqrt 3}{\sqrt 5+\sqrt 3}$ then the value of $x+y+xy$ is _____

$\begin{array}{1 1}(A) \;9\\(B)\;5 \\(C)\;17 \\(D)\;7 \end{array}$

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