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I have reviewed the image and can proceed with solving the expression. Here is the mathematical expression you provided:

\[
\sqrt{5^2 - 3^2 \times 2^2} + \sqrt[3]{8} \times \sqrt{81} \div 18 + \sqrt{18 \times 8}
\]

### Step-by-step solution:

1. **Evaluate powers and square roots:**
   - \(5^2 = 25\)
   - \(3^2 = 9\)
   - \(2^2 = 4\)
   - \(\sqrt{81} = 9\)
   - \(\sqrt[3]{8} = 2\)

2. **Simplify parts of the expression:**
   - First, handle the inner multiplication and subtraction in the square root: 
     \[
     5^2 - 3^2 \times 2^2 = 25 - (9 \times 4) = 25 - 36 = -11
     \]
     So, \(\sqrt{5^2 - 3^2 \times 2^2} = \sqrt{-11}\), but since \(\sqrt{-11}\) is not a real number, we'll assume there's an interpretation issue with this negative value. However, I will continue solving the remaining parts of the expression.

3. **Simplify the next parts:**
   - \(\sqrt[3]{8} \times \sqrt{81} = 2 \times 9 = 18\)
   - Then \( 18 \div 18 = 1 \)

4. **Calculate the final square root:**
   - \(18 \times 8 = 144\), and \(\sqrt{144} = 12\)

### Full Simplified Expression:
Given that \(\sqrt{-11}\) is imaginary, the expression becomes:

\[
\text{Imaginary term} + 1 + 12
\]

Thus, the real part of the result is:

\[
1 + 12 = 13
\]

Would you like to explore the imaginary solution or clarify any assumptions? 

---

Here are some related questions for further practice:

1. How do we solve square roots of negative numbers using imaginary numbers?
2. How can we simplify expressions involving cube roots and square roots?
3. What are the rules for dividing terms involving roots?
4. Can we evaluate the final result in terms of complex numbers?
5. How do operations with real and imaginary numbers work in general?

**Tip:** Always check whether negative terms inside square roots are part of the real or complex domain to avoid confusion.

Efectúe: √(5^2 - 3^2 * 2^2) + ³√8 * √81 ÷ 18 + √(18 * 8)

Learn how to simplify an expression involving square roots, cube roots, and imaginary numbers. This step-by-step guide explains key concepts in radical simplification and the handling of real and imaginary parts. Suitable for Grades 9-12 math students.

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