Question: Select all the squares in order of
least to greatest
$$\sum_{i=2}^7 i$$
$$\log_3(16)$$
$$e^4$$
$$6!$$
$$\int_1^8 x \, dx$$
$$\frac{7\pi}{3}$$
$$\sqrt{16}$$
$$\frac{12}{18}$$
1. **State the problem:** We need to select all the squares from the given list of expressions and then order those squares from least to greatest.
2. **Identify squares:** A square is a number raised to the power 2 or a perfect square number.
- $$\infty$$ is not a square.
- $$\sum_{i=2}^7 i = 2+3+4+5+6+7 = 27$$, not a square.
- $$\log_3(16)$$ is not a perfect square.
- $$e^4$$ is $$ (e^2)^2 $$, so it is a square.
- $$6! = 720$$, not a perfect square.
- $$\int_1^8 x \, dx = \left[ \frac{x^2}{2} \right]_1^8 = \frac{64}{2} - \frac{1}{2} = \frac{63}{2} = 31.5$$, not a square.
- $$\frac{7\pi}{3}$$ is not a square.
- $$\sqrt{16} = 4$$, which is a perfect square (since $$4 = 2^2$$).
- $$\frac{12}{18} = \frac{2}{3}$$, not a square.
3. **Squares found:** $$e^4$$ and $$4$$.
4. **Evaluate squares numerically:**
- $$e^4 = (e^2)^2 \approx (7.389)^2 = 54.598$$
- $$4 = 4$$
5. **Order squares least to greatest:** $$4 < 54.598$$
**Final answer:** The squares in order from least to greatest are $$\sqrt{16}$$ and $$e^4$$.