answersLogoWhite

0

No. Here is a counter-example:

x = 1 + sqrt(2)

y = 2 - sqrt(2)

x and y are irrational.

x + y = 3 is rational.

User Avatar

Wiki User

9y ago

Still curious? Ask our experts.

Chat with our AI personalities

ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
More answers

x = 1 + sqrt(2) y = 2 - sqrt(2)

x and y are irrational.

x + y = 3 is rational.

User Avatar

Wiki User

9y ago
User Avatar

Add your answer:

Earn +20 pts
Q: Are Irrational Numbers Closed Under Addition counter example?
Write your answer...
Submit
Still have questions?
magnify glass
imp