
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
2.305. Verify by transforming the left part that:

a) $\sqrt[3]{7+5 \sqrt{2}}-\sqrt[3]{5 \sqrt{2}-7}=2$

b) $\sqrt{3+\sqrt{3}+\sqrt[3]{10+6 \sqrt{3}}}=\sqrt{3}+1$.

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