Answer:
Step-by-step explanation:
[tex]\dfrac{5}{\sqrt{11}-\sqrt{3}}=\dfrac{5}{(\sqrt{11}-\sqrt{3}})\\\\=\dfrac{5*(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\=\dfrac{5*\sqrt{11}+5*\sqrt{3}}{(\sqrt{11})^{2}-(\sqrt{3})^{2}}\\\\= \dfrac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\=\dfrac{5\sqrt{11}+5\sqrt{3}}{8}[/tex]
