1. **State the problem:** We need to evaluate each expression in the 3x3 grid and then select all the squares that are perfect squares, ordering them from least to greatest.
2. **Evaluate each expression:**
- Top-left: $\frac{5\pi}{4} \approx \frac{5 \times 3.1416}{4} = 3.927$ (not an integer, so not a perfect square)
- Top-center: $e^6 \approx 403.429$ (not an integer, so not a perfect square)
- Top-right: $\log_3(3) = 1$ (since $3^1=3$)
- Middle-left: $\sum_{i=5}^7 i = 5 + 6 + 7 = 18$ (not a perfect square)
- Middle-center: $\int_3^8 x \, dx = \left[ \frac{x^2}{2} \right]_3^8 = \frac{8^2}{2} - \frac{3^2}{2} = \frac{64}{2} - \frac{9}{2} = \frac{55}{2} = 27.5$ (not an integer, so not a perfect square)
- Middle-right: $\infty$ (not a number, ignore)
- Bottom-left: $\frac{11}{16} = 0.6875$ (not an integer, so not a perfect square)
- Bottom-center: $4! = 4 \times 3 \times 2 \times 1 = 24$ (not a perfect square)
- Bottom-right: $\sqrt{21} \approx 4.583$ (not an integer, so not a perfect square)
3. **Identify perfect squares:** Only $\log_3(3) = 1$ is a perfect square (since $1 = 1^2$).
4. **Order from least to greatest:** Only one perfect square, which is 1.
**Final answer:** The only perfect square is the top-right square with value $1$.
Perfect Squares Be1Fa8
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.