
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
A particle is located at $A(1,1,-2)$. Under the action of the force $\overrightarrow{F}=(2,2,2\sqrt{2})$, the particle moves from $A$ to $B(3,4,-2+\sqrt{2})$. Calculate the magnitude of the work done by the force $\overrightarrow{F}$.

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