To simplify $\sqrt{8}$, follow these steps:

1. Factor the number inside the square root:
   $8 = 4 \cdot 2$.

2. Split the square root using the property $\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$:
   $\sqrt{8} = \sqrt{4} \cdot \sqrt{2}$.

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

4. Combine the results:
   $\sqrt{8} = 2\sqrt{2}$.

Final Answer:

$\sqrt{8} = 2\sqrt{2}$

Would you like me to explain any part of this process in more detail?

Related Questions:

1. How do you simplify $\sqrt{50}$?
2. What are the steps to simplify $\sqrt{12}$?
3. How do you rationalize a denominator like $\frac{1}{\sqrt{8}}$?
4. Can you explain how to estimate $\sqrt{8}$ as a decimal?
5. How do square roots relate to exponents?

Tip:

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