Sqrt(2) and sqrt(3)
Not necessarily.3+sqrt(2) and 3-sqrt(2) are both irrational numbers. Their sum is 6 - a rational.
The sum of two irrational numbers may be rational, or irrational.
irrational
not always. nothing can be generalized about the sum of two irrational number. counter example. x=(sqrt(2) + 1), y=(1 - sqrt20) then x + y = 1, rational.