Monday, January 7, 2002

2002 #7 and 35

Complex numbers, binomial expansion, rationalizing the denominator, oh-my! Then combinations!
Difficulty: moderately difficult, time is the problem for some.
Difficulty: Combinations annoy me.

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

answer 07 and answer 35.

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