If $$\sqrt 6 = 2.449{\text{,}}$$   then the value of $$\frac{{3\sqrt 2 }}{{2\sqrt 3 }}$$   is = ?

Solution (By Examveda Team)

$$\eqalign{ & = \frac{{3\sqrt 2 }}{{2\sqrt 3 }} \cr & = \frac{{3\sqrt 2 }}{{2\sqrt 3 }} \times \frac{{\sqrt 3 }}{{\sqrt 3 }} \cr & = \frac{{3\sqrt 6 }}{{2 \times 3}} \cr & = \frac{{\sqrt 6 }}{2} \cr & = \frac{{2.449}}{2} \cr & = 1.2245 \cr} $$