
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
Exploration Question
Read the following solution process:
\\( \frac{1}{\sqrt{5}+\sqrt{4}}=\frac{1\cdot(\sqrt{5}-\sqrt{4}\,)}{(\sqrt{5}+\sqrt{4}\,)(\sqrt{5}-\sqrt{4}\,)}=\frac{\sqrt{5}-\sqrt{4}}{(\sqrt{5})^{2}-(\sqrt{4})^{2}}=\sqrt{5}-2\\)
\\( \frac{1}{\sqrt{6}+\sqrt{5}}=\frac{1\cdot(\sqrt{6}-\sqrt{5})}{(\sqrt{6}+\sqrt{5})(\sqrt{6}-\sqrt{5})}=\frac{\sqrt{6}-\sqrt{5}}{(\sqrt{6})^{2}-(\sqrt{5})^{2}}=\sqrt{6}-\sqrt{5}\\)
Answer the following questions:
\\((1)\\) Observe the above solution process and directly write out the result of \\( \frac{1}{\sqrt{n}-\sqrt{n-1}}\\) as \_\_\_\_\_\_;
\\((2)\\) Simplify the following expression using the provided solution method: \\( \frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\dots+\frac{1}{\sqrt{98}+\sqrt{99}}+\frac{1}{\sqrt{99}+\sqrt{100}}\\).

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