1. **State the problem:** We need to find which point on the number line best represents $\sqrt{60}$. The number line ranges from 6 to 8 with points A, B, C, D, E, and F placed between these integers. 2. **Recall the formula:** The square root function $\sqrt{x}$ gives the positive number which, when squared, equals $x$. 3. **Calculate $\sqrt{60}$:** $$\sqrt{60} = \sqrt{4 \times 15} = \sqrt{4} \times \sqrt{15} = 2 \times \sqrt{15}$$ 4. **Estimate $\sqrt{15}$:** Since $3^2 = 9$ and $4^2 = 16$, $\sqrt{15}$ is between 3 and 4, closer to 4. More precisely, $\sqrt{15} \approx 3.873$. 5. **Calculate $\sqrt{60}$ numerically:** $$\sqrt{60} \approx 2 \times 3.873 = 7.746$$ 6. **Interpret on the number line:** $\sqrt{60} \approx 7.746$ lies between 7 and 8, closer to 8. 7. **Match to points:** Given the points A to F between 6 and 8, with F closer to 8, the point F best represents $\sqrt{60}$. **Final answer:** Point F