
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
Read the following material, then answer the questions.

When performing operations with radical expressions, expressions like $$\frac {2}{ \sqrt {3}-1}$$ can be further simplified: $$\frac {2}{ \sqrt {3}-1}= \frac {2×( \sqrt {3}+1)}{( \sqrt {3}-1)( \sqrt {3}+1)}= \frac {2( \sqrt {3}+1)}{3-1}= \sqrt {3}+1$$  
This step of simplification is called rationalizing the denominator.

(1) Please simplify $$\frac {2}{ \sqrt {5}- \sqrt {3}}$$ using the method described above;  
(2) Simplify: $$\frac {4}{ \sqrt {2}+2}+ \frac {4}{2+ \sqrt {6}}+ \frac {4}{ \sqrt {6}+ \sqrt {8}}+$$…$$+ \frac {4}{ \sqrt {2n}+ \sqrt {2n+2}}$$.

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