To represent \( \sqrt{10} \) on the number line, we need to approximate its value first.
Calculating \( \sqrt{10} \):
\[ \sqrt{10} \approx 3.16227766017 \]
Now, let's place \( \sqrt{10} \) on the number line approximately:
1. **Approximate location**: \( \sqrt{10} \approx 3.16 \).
2. **Placement on the number line**:
- Place \( 3 \) on the number line.
- Estimate a bit beyond \( 3.1 \) but before \( 3.2 \).
So, \( \sqrt{10} \) is roughly located on the number line between \( 3.1 \) and \( 3.2 \).
If you need a more precise placement, you can refer to its decimal approximation \( \sqrt{10} \approx 3.162 \) and mark it accordingly.
