
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 $a$ and $t$ are positive real numbers, determine the value of $a+t$.

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