
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
We all know that $\sqrt{2}$ is an irrational number, and irrational numbers are infinite non-repeating decimals. Therefore, we cannot write out all the decimal part of $\sqrt{2}$, so we can use $\sqrt{2}-1$ to represent the decimal part of $\sqrt{2}$, because the integer part of $\sqrt{2}$ is $1$. By subtracting this number from its integer part, we get the decimal part. Given that $\sqrt{7}+2=a+b$, where $a$ is an integer and $0 < b < 1$, then $a-b=$____.

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