
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
Express the following numbers in the form \(\sqrt{a} \pm \sqrt{b}\), where \(a\) and \(b\) are natural numbers:
a) \(\sqrt{3+2 \sqrt{2}}\)

b) \(\sqrt{9+4 \sqrt{5}}\)

c) \(\sqrt{7-2 \sqrt{10}}\).

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