a)
[tex]\frac{11}{\sqrt{11}}\\\\11=\sqrt{11}\sqrt{11}\\\\=\frac{\sqrt{11}\sqrt{11}}{\sqrt{11}}\\\\=\sqrt{11}[/tex]
b)
[tex]\frac{8}{\sqrt{3}}\\\\=\frac{8\sqrt{3}}{\sqrt{3}\sqrt{3}}\\\\=\frac{8\sqrt{3}}{3}[/tex]
c)
[tex]\frac{5\sqrt{2}}{\sqrt{6}}\\\\=\frac{5\sqrt{2}}{\sqrt{2}\sqrt{3}}\\\\=\frac{5}{\sqrt{3}}[/tex]
d)
[tex]\frac{5\sqrt{3}}{\sqrt{5}}\\\\5=\sqrt{5}\sqrt{5}\\\\=\frac{\sqrt{5}\sqrt{5}\sqrt{3}}{\sqrt{5}}\\\\=\sqrt{5}\sqrt{3}\\\\=\sqrt{15}[/tex]
e)
[tex]\frac{8}{\sqrt[5]{3^2}}\\\\=\frac{8}{\sqrt[5]{9}}\\\\=\frac{8\cdot \:3^{\frac{3}{5}}}{3}[/tex]
