
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 two distinct real numbers $a$ and $b$, the operation ★ is defined as follows: $a$ ★ $b = \frac{{\sqrt{a+b}}}{a-b}$. For example, $3$ ★ $2 = \frac{{\sqrt{3+2}}}{3-2} = \sqrt{5}$. Then $4$ ★ $8=$____.

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