Here is a visual representation of the number line showing the positions of $\sqrt{2}$ and $\sqrt{3}$. You can see that $\sqrt{2} \approx 1.414$ is placed slightly to the right of 1, and $\sqrt{3} \approx 1.732$ is positioned between 1.5 and 2.

Let me know if you'd like further clarification or have any other questions!

Additional Questions to Explore:

1. How do we approximate irrational numbers like $\sqrt{2}$ and $\sqrt{3}$ to more decimal places?
2. How can we prove that numbers like $\sqrt{2}$ are irrational?
3. How do we find the square roots of larger non-perfect squares?
4. What are some other examples of irrational numbers, and where do they appear in mathematics?
5. How does the concept of irrational numbers relate to real-world measurements?

Tip:

To better understand irrational numbers, try plotting them using a calculator, which can help refine the approximation of their decimal values!