
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
Given the equation:
\[2.334 A=\sqrt{a^{3}-b^{3}+\sqrt{a}} \cdot \frac{\sqrt{a^{3 / 2}+\sqrt{b^{3}+\sqrt{a}}} \cdot \sqrt{a^{3 / 2}-\sqrt{b^{3}+\sqrt{a}}}}{\sqrt{\left(a^{3}+b^{3}\right)^{2}-a\left(4 a^{2} b^{3}+1\right)}}.\]

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