
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
Compare which of the numbers is greater:
a) $\sqrt{2}+\sqrt{3}$ or $\sqrt{11}$;
b) $\sqrt{6}+2 \sqrt{7}$ or $\sqrt{10}+\sqrt{21}$;
c) $\sqrt{11}$ or $5-\sqrt[3]{5}$.

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