I know that there is a rational number arbitrarily close

Avah Knapp

Avah Knapp

Answered question

2022-05-21

I know that there is a rational number arbitrarily close to an irrational, due to the density of real number. But what about an irrational number?

Answer & Explanation

Harper Heath

Harper Heath

Beginner2022-05-22Added 9 answers

Yes, consider α + 1 n where α is irrational and n is an integer. α + 1 n is also irrational and can be made arbitrarily close to α by choosing n to be sufficiently large.

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?