
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 $\sqrt{x + \sqrt{x + \sqrt{x}}}$ for $x \geq 0$.
**A)** $x\sqrt{x}$  
**B)** $x\sqrt[4]{x}$  
**C)** $\sqrt[8]{x+\left(x + x^{\frac{1}{2}}\right)^{\frac{1}{2}}}$
**D)** $\sqrt{2x}$  
**E)** $\sqrt{x + \left(x + x^{\frac{1}{2}}\right)^{\frac{1}{2}}}$

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