Solve {l}{text{(1)}frac{sqrt{5}*sqrt{15}}{sqrt{3}}quadtext{(2)}(sqrt{3}+1)^2-6sqrt{1/3}text{(3)}(3sqrt{2}+sqrt{48})(sqrt{18}-4sqrt{3})}{text{(4)}sqrt{32}-3sqrt{1/2}+(sqrt{3}+sqrt{2})(sqrt{3}-sqrt{2})-sqrt{4}text{(5)}sqrt{27}*sqrt{1/3}-(1-sqrt{3})^2+(-2)-(1/2)}

$$\left. \begin{array} { l } { \text { (1) } \frac { \sqrt { 5 } \times \sqrt { 15 } } { \sqrt { 3 } } \quad \text { (2) } ( \sqrt { 3 } + 1 ) ^ { 2 } - 6 \sqrt { \frac { 1 } { 3 } } \text { (3) } ( 3 \sqrt { 2 } + \sqrt { 48 } ) ( \sqrt { 18 } - 4 \sqrt { 3 } ) } \\ { \text { (4) } \sqrt { 32 } - 3 \sqrt { \frac { 1 } { 2 } } + ( \sqrt { 3 } + \sqrt { 2 } ) ( \sqrt { 3 } - \sqrt { 2 } ) - \sqrt { 4 } \text { (5) } \sqrt { 27 } \times \sqrt { \frac { 1 } { 3 } } - ( 1 - \sqrt { 3 } ) ^ { 2 } + ( - 2 ) - ( \frac { 1 } { 2 } ) } \end{array} \right.$$

Evaluate

$$200\sqrt{3}+40,\ \frac{29\sqrt{2}}{2}+2\sqrt{3}-\frac{71}{2}$$