
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
Evaluate the expression $\frac{3(\sqrt{3} + \sqrt{8})}{4\sqrt{3+\sqrt{5}}}$.
**A)** $\frac{3\sqrt{3}+4\sqrt{2}}{2}$ 
**B)** $\frac{297 - 99\sqrt{5} + 108\sqrt{6} - 36\sqrt{30}}{64}$ 
**C)** $5\sqrt{3}$ 
**D)** $\frac{3\sqrt{3}}{4}$ 
**E)** $\frac{11\sqrt{6}}{4}$

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