
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
The book “Strange Tales from a Chinese Studio” contains the following poem: "Carrying water and chopping wood is too hard to bear, returning home only wishing for the skill to pass through walls. Once you've mastered the technique, nothing will hold you back, yet even with a mound upon your forehead, you still won’t get it." Here, we consider equations of the following form to possess the "pass through walls" technique:
$$2\sqrt{\frac{2}{3}}=\sqrt{2\frac{2}{3}},3\sqrt{\frac{3}{8}}=\sqrt{3\frac{3}{8}},4\sqrt{\frac{4}{15}}=\sqrt{4\frac{4}{15}},5\sqrt{\frac{5}{24}}=\sqrt{5\frac{5}{24}}, \ldots$$
According to this pattern, if $8\sqrt{\frac{8}{n}}=\sqrt{8\frac{8}{n}}$ also has the "pass through walls" technique, find the value of $n$.

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