Answer
$\frac{\sqrt 3}{2a}$
Work Step by Step
Step 1: $\sqrt \frac{3a}{4a^{3}}$
Step 2: $\sqrt \frac{3}{4a^{3-1}}$
Step 3: $\sqrt \frac{3}{4a^{2}}$
Step 4: $\frac{\sqrt 3}{\sqrt {4a^{2}}}$
Step 5: $\frac{\sqrt 3}{\sqrt 4\times\sqrt {a^{2}}}$
Step 6: $\frac{\sqrt 3}{2\times a}$
Step 7: $\frac{\sqrt 3}{2a}$
