
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 the following expressions:

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

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