Question

$$\frac { \sqrt { 4 } + \sqrt { 3 } } { 5 - \sqrt { 3 } } \div \frac { \sqrt { 3 } + \sqrt { 2 } } { 14 - \sqrt { 2 } }$$

Evaluate

$\frac{98\sqrt{3}}{11}-\frac{111\sqrt{6}}{22}-\frac{203\sqrt{2}}{22}+\frac{160}{11}\approx 4.568329258$