Tuesday, January 20, 2004

2004 #20, 21 and 22

Probably my favorite problem.  Looks so fierce and imposing, yet so tame.
Difficulty: easy.
Difficulty: easy.
Difficulty: Pretty complex.

Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest 2004

answer 20, answer 21, answer 22.

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