
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
(I) Calculate: $$8^{ \frac {2}{3}}- \sqrt {( \sqrt {2}-1)^{2}}+2^{ \frac {1}{2}}+(\frac {1}{3})^{0}-\log_{10}100$$．  
(II) Given $a>0$, and $a-a^{-1}=3$, find the value of $a^{2}+a^{-2}$．

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