1. **State the problem:** Evaluate $\sin\sqrt{\frac{2\pi}{3}}$.\n\n2. **Recall the formula and rules:** The sine function takes an angle in radians and returns a value between $-1$ and $1$. Here, the angle is $\sqrt{\frac{2\pi}{3}}$, which is the square root of a fraction involving $\pi$.\n\n3. **Calculate the angle inside the sine:**\n$$\sqrt{\frac{2\pi}{3}} = \sqrt{\frac{2 \times 3.14159}{3}} = \sqrt{2.0944} \approx 1.447\text{ radians}.$$\n\n4. **Evaluate the sine:**\nUsing a calculator or sine table,\n$$\sin(1.447) \approx 0.992.$$\n\n5. **Final answer:**\n$$\sin\sqrt{\frac{2\pi}{3}} \approx 0.992.$$