If 5√3 + $$\sqrt {75} $$ = 17.32, then the value of 14√3 + $$\sqrt {108} $$  is.

Solution (By Examveda Team)

$$\eqalign{ & 5\sqrt 3 + \sqrt {75} = 17.32 \cr & 5\sqrt 3 + 5\sqrt 3 = 17.32 \cr & 10\sqrt 3 = 17.32\,.\,.\,.\,.\,.\,\left( 1 \right) \cr & \therefore 14\sqrt 3 + \sqrt {108} \cr & = 14\sqrt 3 + \sqrt {12 \times 9} \cr & = 14\sqrt 3 + 6\sqrt 3 \cr & = 20\sqrt 3 \cr & = 2 \times 10\sqrt 3 \cr & = 2 \times 17.32 \cr & = 34.64 \cr} $$