\hspace{-16}$Determine The Integer $\mathbf{(x,y)}$ such that \\\\ $\mathbf{\frac{x}{\sqrt{2+\sqrt{3}}}+\frac{y}{\sqrt{4+\sqrt{15}}}=\frac{2}{\sqrt{3+\sqrt{5}}}}$
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\hspace{-16}$Determine The Integer $\mathbf{(x,y)}$ such that \\\\ $\mathbf{\frac{x}{\sqrt{2+\sqrt{3}}}+\frac{y}{\sqrt{4+\sqrt{15}}}=\frac{2}{\sqrt{3+\sqrt{5}}}}$