
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
Find the minimum value of \( \sqrt{x^2+y^2} \) if \( 3x + 4y = 24 \).
**A)** \( \frac{24}{7} \)   
**B)** \( \frac{24}{5} \)  
**C)** \( \frac{24}{13} \)  
**D)** \( 5 \)  
**E)** \( 0 \)

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