
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
Calculate:<br/>$(1)(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})+(\sqrt{3}-2)^{2}$;<br/>$(2)\sqrt{18}-4\sqrt{\frac{1}{2}}+\sqrt{24}÷\sqrt{3}$;

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