Find two irrational numbers X and Y such that (x+y)/2 is rational

irrational-numbers

#1

(A) find two irrational numbers X and Y such that (x+y)/2 is rational
(B) find two irrational numbers a and b such that (a+b)/2 is irrational

Answer:

Alright, for the first one, you can use any irrational number added to its additive inverse. So, if you were to use π as your irrational, then your two irrational numbers would be π added to negative π and that would equal to 0.

For part B, it’s most irrational numbers. So, let’s continue with π so it will give you 2 * π divided by 2, which is simply π