The expression \( \sqrt{8} + 3\sqrt{2} \) can be simplified by expressing \( \sqrt{8} \) in terms of \( \sqrt{2} \).

First, simplify \( \sqrt{8} \):

\[
\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
\]

Now substitute this back into the original expression:

\[
\sqrt{8} + 3\sqrt{2} = 2\sqrt{2} + 3\sqrt{2}
\]

Combine the like terms:

\[
2\sqrt{2} + 3\sqrt{2} = (2 + 3)\sqrt{2} = 5\sqrt{2}
\]

So, the simplified expression is:

\[
5\sqrt{2}
\]

Would you like more details on this process or have any other questions?

Here are 5 related questions you might find interesting:
1. How do you simplify the square root of a product?
2. What is the process for adding or subtracting radical expressions?
3. How do you simplify an expression like \( \sqrt{50} + 2\sqrt{2} \)?
4. Can you combine radicals with different radicands (like \( \sqrt{2} + \sqrt{3} \))?
5. How do you multiply and divide expressions involving square roots?

**Tip:** When simplifying square roots, always look for perfect squares within the radicand that can be factored out.

Learn how to simplify the expression \( \sqrt{8} + 3\sqrt{2} \) using square root simplification and combining like terms. This problem involves key concepts like square roots, radical expressions, and term combination. Suitable for high school students.

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