To simplify the radical expression $\sqrt{12}$, we begin by factoring 12 into its prime factors:

$12 = 4 \times 3$

We know that $\sqrt{4} = 2$, so we can simplify $\sqrt{12}$ as:

$\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}$

Thus, the simplified form of $\sqrt{12}$ is:

$2\sqrt{3}$

Would you like to go over the process in more detail, or do you have any other questions? Here are some related questions you might find useful:

1. How do you simplify a square root with a larger number, like $\sqrt{72}$?
2. Can all square roots be simplified?
3. What is the difference between simplifying square roots and cube roots?
4. How do you add or subtract square roots?
5. What happens if the number inside the square root is a perfect square?

Tip: When simplifying square roots, always look for the largest perfect square factor first!