
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
When finding the value of 1+q+q²+… (0<q<1), the following method was used: "Let 1+q+q²+…=S, then S=1+q(1+q+q²+…)=1+q•S, solve for $S= \frac {1}{1-q}$, hence $1+q+q^{2}+…= \frac {1}{1-q}$". By using an analogous method, find the value of $\sqrt {12+ \sqrt {12+ \sqrt {12+…}}}$.

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