If $$\sqrt 3 $$ = 1.732 is given, then the value of $$\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }}$$  is = ?

Solution (By Examveda Team)

$$\eqalign{ & \sqrt 3 = 1.732 \cr & \Rightarrow \frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} \times \frac{{2 + \sqrt 3 }}{{2 + \sqrt 3 }} \cr & \Rightarrow \frac{{{{\left( {2 + \sqrt 3 } \right)}^2}}}{{4 - 3}} \cr & \Rightarrow 4 + 3 + 4\sqrt 3 \cr & \Rightarrow 7 + 4 \times 1.732 \cr & \Rightarrow 7 + 6.928 \cr & \Rightarrow 13.928 \cr} $$