The first one is very similar to a classic SAT question that always trips up students who aren't paying attention. The second - do they remember LoC?

Difficulty: simple.

Difficulty: Not bad, if they remember.

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 04 and answer 38.

#38 works with just Pythagorean Theorem also.

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