Answer
$\frac{24-8\sqrt{5x}}{9-5x}$.
Work Step by Step
The given expression is
$=\frac{8}{3+\sqrt{5x}}$
Multiply and divide by the conjugate of the denominator.
$=\frac{8}{3+\sqrt{5x}}\cdot \frac{3-\sqrt{5x}}{3-\sqrt{5x}}$
Use distributive property and the FOIL method.
$=\frac{24-8\sqrt{5x}}{9-3\sqrt{5x}+3\sqrt{5x}+(\sqrt{5x})(-\sqrt{5x})}$
Simplify.
$=\frac{24-8\sqrt{5x}}{9-5x}$.
