Solve A=frac{2sqrt{5}}{sqrt{8}+sqrt{3}}-frac{sqrt{10}}{sqrt{6}-1}-frac{15sqrt{2}}{sqrt{5}}

$$A = \frac { 2 \sqrt { 5 } } { \sqrt { 8 } + \sqrt { 3 } } - \frac { \sqrt { 10 } } { \sqrt { 6 } - 1 } - \frac { 15 \sqrt { 2 } } { \sqrt { 5 } }$$

Assign A (complex solution)

$$A≔-\frac{4\sqrt{5}\left(\sqrt{6}+3\right)\left(2\sqrt{2}-\sqrt{3}\right)}{5}$$

Solve for A

$$A=\frac{-4\sqrt{15}-12\sqrt{10}}{5}\approx -10.687853061$$

Assign A

$$A≔-\frac{4\sqrt{15}\left(\sqrt{6}+1\right)}{5}$$