
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 $$\sqrt {2 \frac {2}{3}}=2 \sqrt { \frac {2}{3}}$$, $$\sqrt {3 \frac {3}{8}}=3 \sqrt { \frac {3}{8}}$$, $$\sqrt {4 \frac {4}{15}}=4 \sqrt { \frac {4}{15}}$$, ..., if $$\sqrt {6 \frac {a}{t}}=6 \sqrt { \frac {a}{t}}$$ (where $a$, $t$∈$R^*$), then $a=$ \_\_\_\_\_\_ , $t=$ \_\_\_\_\_\_ .

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