(1/((1+(√2))(1+(2)^(1/4) )(1+(2)^(1/8) )(1+(2)^(1/(16)) )))×(((1−(2)^(1/(16)) )/(1−(2_ )^(1/(16)) ))) ⇒_ ((1−(2)^(1/(16)) )/((1+(√2))(1+(2)^(1/4) )(1+(2)^(1/8) )(1−(2)^(1/8) )))⇒(1/((1+(√2))(1+(2)^(1/4) )(1−(2)^(1/4) )))


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Question Number 192045 by Safiullah_21 last updated on 06/May/23

$\frac{1}{(1 + \sqrt{2}) (1 + \sqrt[4]{2}) (1 + \sqrt[8]{2}) (1 + \sqrt[16]{2})} \times (\frac{1 - \sqrt[16]{2}}{1 - \sqrt[16]{2_{}}})$ $\Rightarrow_{} \frac{1 - \sqrt[16]{2}}{(1 + \sqrt{2}) (1 + \sqrt[4]{2}) (1 + \sqrt[8]{2}) (1 - \sqrt[8]{2})} \Rightarrow \frac{1}{(1 + \sqrt{2}) (1 + \sqrt[4]{2}) (1 - \sqrt[4]{2})}$
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