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Prove that if x is irrational and x ? 0, then is

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 39E Chapter 1.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 39E

Prove that if x is irrational and x ≥ 0, then  is irrational.

Step-by-Step Solution:

Step 1 : 

The objective is to prove if x is irrational , then  is irrational.

Step 2 :

We can prove this by contrapositive method, the contrapositive is , if  Assuming throughout x

 Suppose that xfor every statement

Let us assume that  =  is rational , then b

= ()2 =  = x is also rational.

Step 3 of 3

Chapter 1.SE, Problem 39E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Prove that if x is irrational and x ? 0, then is

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