To simplify $3\sqrt{8}$:

1. First, simplify the square root of 8: $\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}$

2. Multiply this result by 3: $3\sqrt{8} = 3 \times 2\sqrt{2} = 6\sqrt{2}$

So, the simplified form of $3\sqrt{8}$ is $6\sqrt{2}$.

Would you like further details or have any questions?

Here are five related questions:

1. How do you simplify $5\sqrt{12}$?
2. What is the simplified form of $7\sqrt{18}$?
3. Can you simplify $4\sqrt{32}$?
4. How do you simplify $2\sqrt{50}$?
5. What is the value of $\sqrt{72}$ in simplified form?

Tip: When simplifying square roots, look for perfect square factors of the number under the square root to simplify the expression further.