Given an irrational number 0 <

fythynwyrk0

fythynwyrk0

Answered question

2022-07-01

Given an irrational number 0 < i < 1 ,. Find two rational numbers a and b such that 0 < a < i < b < 1.

Answer & Explanation

Amir Beck

Amir Beck

Beginner2022-07-02Added 13 answers

Since 0 < i < 1 ,, then there exists some least positive integer n such that
1 n < i < 1 1 n .
To see why, apply the Archimedean property to
1 min ( i , 1 i ) .

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?