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Curious Cubic Calculation? (Posted on 2004-10-13) Difficulty: 2 of 5
Show that α=³√(7+5√2)+³√(7-5√2) is an integer. No calculators or computers allowed!

See The Solution Submitted by Old Original Oskar!    
Rating: 3.8333 (6 votes)

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Solution Solution | Comment 2 of 14 |

See my next post for a translation of this gibberish.

From the equations (1+¡î(2))©ø=(7+5¡î(2)) and (1-¡î(2))©ø=(7-5¡î(2)), we deduce that ¥á = (1+¡î(2)) + (1-¡î(2)) = 2.

Edited on October 13, 2004, 1:35 pm
  Posted by David Shin on 2004-10-13 12:57:31

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