
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
If the simplest quadratic radical $\sqrt{2a-2}$ is of the same type as $\sqrt{-a+16}$.<br/>$(1)$ Find the square root of $a$;<br/>$(2)$ For any two distinct numbers $x$ and $y$, a new operation "※" is defined as follows: $x$※$y=\frac{\sqrt{x+y}}{x-y}$, for example: $3$※$2=\frac{\sqrt{3+2}}{3-2}=\sqrt{5}$, find the value of $a$※$[a$※$\left(-2\right)]$.

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