
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
The calculator performs five operations: addition, subtraction, multiplication, division, and square root extraction. Find the formula that can be used on this calculator to determine the minimum of two arbitrary numbers \(a\) and \(b\).

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