$$\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2\sqrt{15}}}+\dfrac{\sqrt{11+2\sqrt{30}}}{\sqrt{6}-\sqrt{5}}$$

$$\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{8-2\sqrt{15}}}+\dfrac{\sqrt{11+2\sqrt{30}}}{\sqrt{6}-\sqrt{5}}$$

$$\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{\left(\sqrt{5}-\sqrt{3}\right)^2}}+\dfrac{\sqrt{\left(\sqrt{6}+\sqrt{5}\right)^2}}{\sqrt{6}-\sqrt{5}}$$

$$\dfrac{\sqrt{5}+\sqrt{3}}{\left(\sqrt{5}-\sqrt{3}\right)}+\dfrac{\sqrt{6}+\sqrt{5}}{\sqrt{6}-\sqrt{5}}$$

$$\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}\times\dfrac{\sqrt{5}+\sqrt{3}}{\sqrt{5}+\sqrt{3}}+\dfrac{\sqrt{6}+\sqrt{5}}{\sqrt{6}-\sqrt{5}}\times\dfrac{\sqrt{6}+\sqrt{5}}{\sqrt{6}+\sqrt{5}}$$

$$\dfrac{8+2\sqrt{15}}{2}+11+2\sqrt{30}$$

$$15+\sqrt{15}+2\sqrt{30}$$