
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
Tingting's solution to "Simplify: $\sqrt{8} \times \sqrt{18}$" is as follows:  
Solution: Original expression $=2\sqrt{2} \times 3\sqrt{2}=(2 \times 3) \times (\sqrt{2})^{2}=6 \times 2=12$.  
Is Tingting's solution correct? If correct, please provide another solution; if incorrect, please provide the correct solution.

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