Simplify \[\frac{1}{\dfrac{1}{\sqrt{2}+1} + \dfrac{2}{\sqrt{3}-1}}.\]
Question:
Simplify \[\frac{1}{\dfrac{1}{\sqrt{2}+1} + \dfrac{2}{\sqrt{3}-1}}.\]
Answer:
Let's think step by step.

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\sqrt3-\sqrt2
Simplify \[\frac{1}{\dfrac{1}{\sqrt{2}+1} + \dfrac{2}{\sqrt{3}-1}}.\]
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