To solve the expression \( 2\sqrt{2} + 5\sqrt{9} \):

1. Simplify the square roots:
   - \( \sqrt{2} \) remains \( \sqrt{2} \) because it's already in its simplest form.
   - \( \sqrt{9} = 3 \) because \( 9 = 3^2 \).

2. Substitute the simplified values back into the expression:
   \[
   2\sqrt{2} + 5\sqrt{9} = 2\sqrt{2} + 5 \times 3
   \]

3. Multiply \( 5 \) by \( 3 \):
   \[
   5 \times 3 = 15
   \]

4. Combine the terms:
   \[
   2\sqrt{2} + 15
   \]

So, the simplified expression is \( 2\sqrt{2} + 15 \).

Would you like more details or have any questions?

Here are some related questions to expand on this concept:

1. What is \( 3\sqrt{2} + 4\sqrt{9} \)?
2. How do you simplify \( \sqrt{18} + 2\sqrt{8} \)?
3. What is \( 2\sqrt{2} + 3\sqrt{4} \)?
4. If you have \( 7\sqrt{5} + 2\sqrt{25} \), what is the result?
5. How do you add \( 2\sqrt{2} + 5\sqrt{8} \)?
6. What is \( 4\sqrt{3} + 2\sqrt{27} \)?
7. How do you simplify \( \sqrt{50} + 5\sqrt{2} \)?
8. What is \( 3\sqrt{11} + 2\sqrt{99} \)?

**Tip:** When simplifying expressions with square roots, always simplify the square roots first before performing any other operations.

Learn how to simplify the expression 2√2 + 5√9 with a detailed step-by-step solution. This problem involves square roots and basic arithmetic operations. Suitable for students in Grades 7-9.

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