
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
As we know, factorization is an important identity transformation in mathematics. Sometimes, applying the idea of factorization can achieve unexpected effects, such as simplifying:  
\\( \dfrac {1}{ \sqrt {2}+1}= \dfrac {2-1}{ \sqrt {2}+1}= \dfrac {(\sqrt {2})^{2}-1}{ \sqrt {2}+1}= \dfrac {(\sqrt {2}+1)(\sqrt {2}-1)}{ \sqrt {2}+1}= \sqrt {2}-1\\);  
\\( \dfrac {1}{ \sqrt {3}+ \sqrt {2}}= \dfrac {3-2}{ \sqrt {3}+ \sqrt {2}}= \dfrac {(\sqrt {3})^{2}-(\sqrt {2})^{2}}{ \sqrt {3}+ \sqrt {2}}= \dfrac {(\sqrt {3}+ \sqrt {2})(\sqrt {3}- \sqrt {2})}{ \sqrt {3}+ \sqrt {2}}= \sqrt {3}- \sqrt {2}\\).  
\\((1)\\) Simplify: \\( \dfrac {1}{ \sqrt {4}+ \sqrt {3}}\\);  
\\((2)\\) Find the pattern from the above simplifications, and write down the formula using \\(n(n\geqslant 1\\), and \\(n\\) is an integer\\()\\);  
\\((3)\\) According to the above pattern, calculate:  
\\(( \dfrac {1}{ \sqrt {3}+ \sqrt {2}}+ \dfrac {1}{ \sqrt {4}+ \sqrt {3}}+ \dfrac {1}{ \sqrt {5}+ \sqrt {4}}+\ldots+ \dfrac {1}{ \sqrt {2015}+ \sqrt {2014}})( \sqrt {2015}+ \sqrt {2})\\).

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