Undergraduate seminar homework #1

To be handed in by Tuesday, March 23, 1998.


  1. Find the continued fraction expansion of 21/13, 71/2, 611/2
  2. Show that equivalent quadratic irrationalities have the same discriminant.
  3. Show that if a=[a0,a1,...,ak] then its conjugate satisfies -1/a' = [ak,ak-1,...,a0].
  4. If d>0 is not a square then d1/2 = [a0;a1,...,ak]
    Optional: Also ak = 2 a0.


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