1. **State the problem:** Write the expression $\frac{8}{\sqrt{3}}$ in the form $\frac{a\sqrt{b}}{c}$ where $a$, $b$, and $c$ are integers. 2. **Formula and rule:** To rationalize the denominator, multiply numerator and denominator by $\sqrt{3}$ to eliminate the square root in the denominator. 3. **Intermediate work:** $$\frac{8}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{8\sqrt{3}}{\cancel{\sqrt{3}}\cancel{\sqrt{3}}} = \frac{8\sqrt{3}}{3}$$ 4. **Explanation:** Multiplying by $\frac{\sqrt{3}}{\sqrt{3}}$ is equivalent to multiplying by 1, so the value does not change. The denominator becomes $\sqrt{3} \times \sqrt{3} = 3$, which is rational. 5. **Final answer:** $$\frac{8\sqrt{3}}{3}$$ Here, $a=8$, $b=3$, and $c=3$.