## Intermediate Algebra: Connecting Concepts through Application

$\frac{5\sqrt {3x}}{3x}$
Step 1: $\frac{5}{\sqrt {3x}}$ Step 2: Rationalize the denominator: $\frac{5}{\sqrt {3x}}\times\frac{\sqrt {3x}}{\sqrt {3x}}$ . Step 3: Simplify: $\frac{5\times\sqrt {3x}}{\sqrt {3x}\times\sqrt {3x}}=\frac{5\sqrt {3x}}{3x}$.