I have the following prblem:
Let be the Lebesgue measure on .
(i) Given find the measure of the set .
My solution: I simply drew the set and jcomputed the length using the Pythagorean Thm, so .
(ii) Find , where consists of all pairs in such that and is irrational.
My attempt: I tried to do the same thing here, but as you can see the set is a bit more complicated. This is what I've got so far: since iff. we have .