Sum of 2 positive irrational numbers is irrational?

ownerweneuf

ownerweneuf

Answered question

2022-05-22

Sum of 2 positive irrational numbers is irrational?

Answer & Explanation

wayembesail

wayembesail

Beginner2022-05-23Added 10 answers

Let r 1 and r 2 be two rational numbers and let i be an irrational number. If possible, let
r 1 i = r 2
This implies
r 1 r 2 = i
However, we are aware that the difference between two rationals must also be rational. It creates a contradiction for us.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?