   Chapter 7.4, Problem 18ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Must the average of two irrational numbers always be irrational? Prove or give a counterexample.

To determine

To check:

Whether the average of two irrational numbers is always irrational or not.

Explanation

Given information:

Average of two irrational numbers.

Concept used:

Rational number can be written in the form of pq, where p,q and q0.

Calculation:

Average of two irrational numbers cannot be an irrational number.

Observe the following example.

Take the irrational numbers 2+2 and 22 find their average

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