
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 that $\because \sqrt{4}＜\sqrt{6}＜\sqrt{9}$, which implies $2＜\sqrt{6}＜3$, we can conclude that the integer part of $\sqrt{6}$ is $2$, and the decimal part is $\sqrt{6}-2$.<br/>[Application] (1) The integer part of $\sqrt{22}$ is ______, and the decimal part is ______;<br/>(2) Given that the decimal part of $7-\sqrt{22}$ is $m$, and the decimal part of $7+\sqrt{22}$ is $n$, find the value of $m+n$.

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