The given problem asks to simplify $\sqrt{12}$.

Step-by-step solution:

1. Factorize the number inside the square root: $12 = 4 \cdot 3$

2. Use the square root property: $\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$

   Apply this to $\sqrt{12}$: $\sqrt{12} = \sqrt{4} \cdot \sqrt{3}$

3. Simplify the square root of 4: $\sqrt{4} = 2$

   Therefore: $\sqrt{12} = 2\sqrt{3}$

Final Answer:

$\boxed{2\sqrt{3}}$

Let me know if you'd like further clarification!

Related Questions:

1. What is the simplified form of $\sqrt{18}$?
2. How do you rationalize a denominator involving square roots (e.g., $\frac{1}{\sqrt{3}}$)?
3. What are perfect squares, and how do they relate to square root simplification?
4. How can you express $\sqrt{50}$ in simplified radical form?
5. What is the geometric interpretation of $\sqrt{12}$ on a number line?

Tip:

Always look for the largest perfect square factor of a number under a square root to simplify it effectively.