1. The problem asks us to evaluate $\frac{2}{\sqrt{3}}$ and rationalize the denominator. 2. We start with the expression: $$\frac{2}{\sqrt{3}}$$ 3. To rationalize the denominator, multiply numerator and denominator by $\sqrt{3}$: $$\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{2\sqrt{3}}{3}$$ 4. Substitute the given value $\sqrt{3} = 1.732$: $$\frac{2 \times 1.732}{3} = \frac{3.464}{3}$$ 5. Simplify the fraction: $$3.464 \div 3 = 1.1547$$ 6. Therefore, the value of $\frac{2}{\sqrt{3}}$ rationalized is approximately $1.1547$.