Two for Thursday, 2 and 40

This group is from 2002.

Problem 2

Difficulty: Easy and fun.

Problem 40

Difficulty: Fairly difficult for your students.

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 02 and answer 40.