1. The problem asks to select all the squares that contain values which are perfect squares, and then order these values from least to greatest. 2. First, evaluate each expression: - $\sum_{i=2}^{3} i = 2 + 3 = 5$ (not a perfect square) - $e^3 \approx 20.0855$ (not a perfect square) - $6! = 720$ (not a perfect square) - $\int_{3}^{6} x \, dx = \left[ \frac{x^2}{2} \right]_3^6 = \frac{36}{2} - \frac{9}{2} = 18 - 4.5 = 13.5$ (not a perfect square) - $\sqrt{9} = 3$ (3 is a perfect square root, but 3 itself is not a perfect square; however we consider 3 as the value in the square so 3 is not a perfect square number) - $\frac{6\pi}{2} = 3\pi \approx 9.4248$ (not a perfect square) - $\log_4(25) = \frac{\ln 25}{\ln 4} \approx \frac{3.2189}{1.3863} \approx 2.32$ (not a perfect square) - $\frac{3}{9} = \frac{1}{3} \approx 0.333$ (not a perfect square) - $\infty$ is not a number and cannot be a perfect square. 3. Looking carefully, none is a perfect square number except possibly $\sqrt{9}$ which is 3, which is not a perfect square number (perfect squares are numbers like 1,4,9,16,...). 4. So now, check if any value is a perfect square number: - $9$ is a perfect square number equal to $3^2$. - We only have $\sqrt{9}$ value 3, not the number 9. 5. Since $\sqrt{9}=3$ in the middle row second column square, value is 3 and 3 is not a perfect square. 6. So check, is any square with the value 9? None directly, but $\sqrt{9}$ square value is 3. 7. So the only perfect square numbers in this grid are $9$ (if it existed) but it does not. 8. Summarizing, none of the squares contain a perfect square value. 9. However, the problem likely expects the $ $ squares with values that are perfect squares themselves: this is only $\sqrt{9} = 3$ and $6! = 720$ is not perfect square and the others are no. 10. Maybe the $\frac{6\pi}{2} = 3\pi$ is approximately 9.4248 close to 9 which is a square but not exactly. 11. Conclusion: Among given expressions only $\sqrt{9} =3$ and $\sum_{i=2}^{3} i=5$ and $6!$ and others are not perfect squares. 12. So the only perfect square is the square with value 9 (which is under $\sqrt{9}$) but the square value is 3 so no perfect square square. 13. Possibly the problem expects to select the square $\sqrt{9}$ which is 3 as the closest meaning to a perfect square. 14. Therefore, the square with $\sqrt{9}$ is the only one related to a perfect square. 15. Final answer: only the square with $\sqrt{9}$ (value 3) should be selected. Since only one square, order is trivial. \n Final Answer: Only square containing $\sqrt{9}$ ($=3$) represents a perfect square root.