Difference between revisions of "1977 AHSME Problems/Problem 7"
(Created page with "==Solution== Solution by e_power_pi_times_i <math>t = \dfrac{1}{1-\sqrt[4]{2}} = (\dfrac{1}{1-\sqrt[4]{2}})(\dfrac{1+\sqrt[4]{2}}{1+\sqrt[4]{2}}) = (\dfrac{1+\sqrt[4]{2}}{1-\...") |
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Revision as of 13:10, 18 November 2016
Solution
Solution by e_power_pi_times_i
![$t = \dfrac{1}{1-\sqrt[4]{2}} = (\dfrac{1}{1-\sqrt[4]{2}})(\dfrac{1+\sqrt[4]{2}}{1+\sqrt[4]{2}}) = (\dfrac{1+\sqrt[4]{2}}{1-\sqrt{2}})(\dfrac{1+\sqrt{2}}{1+\sqrt{2}}) = \dfrac{(1+\sqrt[4]{2})(1+\sqrt{2})}{-1} = \text{(E)}-(1+\sqrt[4]{2})(1+\sqrt{2})$](http://latex.artofproblemsolving.com/c/6/e/c6ede94c008ed200fa9a2ee4f8df9e437a7ff54b.png)
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