Q. Find out the value of \({\alpha} , {\beta}\) , if we've \(\alpha=\sqrt{3+\frac{1}{2+\frac{1}{\sqrt{3+\frac{1}{2+\frac{1}{\sqrt{3+...._\infty}}}}}}}\),\(\beta = \sqrt{2+\sqrt{{2+}\sqrt{2+...\infty}}}\) where \(\alpha,\beta\in{W}\) and also \(LCM(\alpha,\beta) = 2\)