
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Simplify the expression $\sqrt{4 + \left (\frac{x^3 - 2}{3x}\right)^2}$.
**A)** $\frac{\sqrt{x^6 + 36x^2}}{3x}$  
**B)** $\frac{\sqrt{x^6 - 4x^3 + 36x^2 + 4}}{3x}$  
**C)** $\frac{x^2 \sqrt{x^2 - 4x + 36 + \frac{4}{x^2}}}{3}$  
**D)** $\frac{\sqrt{x^3 - 2x + 1}}{x}$  
**E)** $\frac{\sqrt{x}}{3}$

Present the answer in LaTex format: \boxed{Your answer}
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