https://file.aiquickdraw.com/mathbot/file/1727636963847iltpmg8z.jpg

The expression in the image is:

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

### Step-by-step simplification:

1. **Simplify \(\sqrt{8}\):**
   \[
   \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
   \]
   
2. Now substitute \(\sqrt{8}\) with \(2\sqrt{2}\):
   \[
   2\sqrt{2} + 3\sqrt{2}
   \]

3. **Combine like terms** (both terms contain \(\sqrt{2}\)):
   \[
   (2 + 3)\sqrt{2} = 5\sqrt{2}
   \]

Thus, the simplified form of the expression is:

\[
5\sqrt{2}
\]

Let me know if you'd like more details or further clarification!

### Related Questions:
1. How do you simplify other square roots like \(\sqrt{18}\)?
2. Can you explain how to factor numbers inside square roots?
3. What are like terms in radical expressions, and how do you combine them?
4. How do you simplify \(\sqrt{12} + \sqrt{27}\)?
5. Can you solve expressions involving cube roots?

### Tip:
Always look for perfect square factors within a square root to simplify expressions more easily.

Simplify the expression \( \sqrt{8} + 3\sqrt{2} \).

Learn how to simplify the expression \( \sqrt{8} + 3\sqrt{2} \) with a step-by-step breakdown. This problem focuses on simplifying radicals and combining like terms. Suitable for students in Grades 8-10.

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