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# Prove that if x is irrational and x ? 0, then is ## Problem 39E Chapter 1.SE

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 x for every statement

Let us assume that = is rational , then b   = ( )2 = = x is also rational.

Step 3 of 3

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

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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 1.se - Problem 39e

Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 1.se - Problem 39e