
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
Given that $\sqrt{2+ \frac{2}{3}} =2\cdot\sqrt{ \frac{2}{3}}$, $\sqrt{3+ \frac{3}{8}} =3\cdot\sqrt{ \frac{3}{8}}$, $\sqrt{4+ \frac{4}{15}} =4\cdot\sqrt{ \frac{4}{15}}$, ..., if $\sqrt{8+ \frac{a}{t}} =8\cdot\sqrt{ \frac{a}{t}}$ (where $a,t$ are positive real numbers), according to the pattern above, then $a+t=$_______.

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