
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
For any positive numbers $a$ and $b$, the operation "$*$" is defined as follows: $a*b=\left\{\begin{array}{l}{\sqrt{a}-\sqrt{b},(a≥b)}\\{\sqrt{b}-\sqrt{a},(a＜b)}\end{array}\right.$. Calculate the result of $\left(9*8\right)+\left(16*18\right)$.

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