The square root of 8 in simplest radical form can be simplified as follows:

$\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}$

So, the simplest radical form of $\sqrt{8}$ is:

$2\sqrt{2}$

Would you like further details or have any questions?

Here are some additional questions for further exploration:

1. How would you simplify $\sqrt{18}$?
2. What is the decimal approximation of $2\sqrt{2}$?
3. How do you rationalize a denominator with $\sqrt{2}$?
4. How would you simplify $\sqrt{50}$ in radical form?
5. What are the properties of square roots that make simplification possible?

Tip: Look for perfect square factors within the radicand to simplify square roots.