
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
Calculate  
(1) $\sqrt {27} + \sqrt {3} - \sqrt {12}$  
(2) $\frac {1}{\sqrt {24}} + \left| \sqrt {6} - 3 \right| + \left( \frac {1}{2} \right)^{-1} - 2016^0$  
(3) $(\sqrt {3} + \sqrt {2})^2 - (\sqrt {3} - \sqrt {2})^2$.

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