
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: \[ M = \frac{\sqrt{\sqrt{7} + 3} + \sqrt{\sqrt{7} - 3}}{\sqrt{\sqrt{7} + 2}} + \sqrt{5 - 2\sqrt{6}}, \]
and determine the value of $M$.
A) $\sqrt{9}$
B) $\sqrt{2} - 1$
C) $2\sqrt{2} - 1$
D) $\sqrt{\frac{7}{2}}$
E) $1$

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