1. The problem is to find the square root of 3223 rounded to two decimal places. 2. The square root function is denoted as $\sqrt{x}$, where $x$ is the number you want to find the root of. 3. To find $\sqrt{3223}$, we can use a calculator or approximation methods. 4. Using a calculator, $\sqrt{3223} \approx 56.766$. 5. Rounding to two decimal places, we look at the third decimal digit (6), which is greater than 5, so we round up. 6. Therefore, $\sqrt{3223} \approx 56.77$ when rounded to two decimal places.