Find the simplest value of $${\text{2}}\sqrt {50} $$  + $$\sqrt {18} $$  - $$\sqrt {72} $$ = ?(given $$\sqrt 2 $$ = 1.414)

Solution (By Examveda Team)

$$\eqalign{ & {\text{2}}\sqrt {50} {\text{ + }}\sqrt {18} - \sqrt {72} \cr & \Rightarrow {\text{2}} \times {\text{5}}\sqrt 2 {\text{ + 3}}\sqrt 2 - 6\sqrt 2 \cr & \Rightarrow 13\sqrt 2 - 6\sqrt 2 \cr & \Rightarrow 7\sqrt 2 \cr & \Rightarrow 7 \times 1.414 \cr & \Rightarrow 9.898 \cr} $$