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Simplify and rationalize the denominator:
$$\frac{1}{1+ \frac{1}{\sqrt{2}+1}}.$$

 Aug 23, 2021
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\({1 \over {1 + {1 \over {\sqrt{2} + 1}}}} = {1 \over {1 + {\sqrt{2} - 1}}} = {\sqrt{2} \over 2}\)

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 Aug 23, 2021

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