
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 real numbers $a$ and $b$, the "★" operation is defined as follows: $a$★$b=\left\{\begin{array}{l}{b(a\leq b)}\\{\sqrt{{a}^{2}-{b}^{2}}(a>b)}\end{array}\right.$. Then $\sqrt{7}$★($\sqrt{2}$★$\sqrt{3})=\_\_\_\_\_\_$.

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