Answer
(a) $\frac{\sqrt{6}}{6}$
(b) $\frac{\sqrt{6}}{2}$
(c) $\frac{9\sqrt[4]{8}}{2}$
Work Step by Step
(a) $\frac{1}{\sqrt{6}}=\frac{1}{\sqrt{6}} \frac{\sqrt{6}}{\sqrt{6}}=\frac{\sqrt{6}}{6}$
(b)$\sqrt{\frac{3}{2}}=\frac{\sqrt{3}}{\sqrt{2}} \frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{6}}{2}$
(c) $\frac{9}{\sqrt[4]{2}}=\frac{9}{2^{1/4}} \frac{2^{3/4}}{2^{3/2}}=\frac{9\sqrt[4]{8}}{2}$
