
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
Evaluate the expression \[N = \frac{\sqrt{\sqrt{10}+3} - \sqrt{\sqrt{10}-3}}{\sqrt{\sqrt{10}+2}} - \sqrt{6 - 4\sqrt{2}}.\]
A) \(1\)
B) \(2\)
C) \(3-\sqrt{2}\)
D) \(1+\sqrt{2}\)
E) \(2\sqrt{2}\)

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