
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
Reading comprehension: Since $\sqrt{4}＜\sqrt{5}＜\sqrt{9}$, that is, $2＜\sqrt{5}＜3$, therefore $1＜\sqrt{5}-1＜2$. Therefore, the integer part of $\sqrt{5}-1$ is $1$, and the decimal part is $\sqrt{5}-2$.  
Problem-solving: Given that $a$ is the integer part of $\sqrt{17}-3$, $b$ is the decimal part of $\sqrt{17}-3$, find the square root of $\left(-a\right)^{3}+\left(b+4\right)^{2}$.

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