1. **State the problem:** We need to verify if the equation $$\frac{2\sqrt{3}}{3} = \frac{2}{\sqrt{3}}$$ is correct. 2. **Recall the rule:** To compare or simplify expressions with square roots in the denominator, we often rationalize the denominator by multiplying numerator and denominator by the conjugate or the root itself. 3. **Start with the right side:** $$\frac{2}{\sqrt{3}}$$ 4. **Rationalize the denominator:** Multiply numerator and denominator by $$\sqrt{3}$$: $$\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{2\sqrt{3}}{\cancel{\sqrt{3}}\sqrt{3}} = \frac{2\sqrt{3}}{3}$$ 5. **Result:** The right side simplifies to $$\frac{2\sqrt{3}}{3}$$ which is exactly the left side. 6. **Conclusion:** The equation $$\frac{2\sqrt{3}}{3} = \frac{2}{\sqrt{3}}$$ is correct after rationalizing the denominator.