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

Chapter 1, Problem 39E

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QUESTION:

Prove that if \(x\) is irrational and \(x \geq 0\), then \(\sqrt{x}\) is irrational.

Equation Transcription:

Text Transcription:

x  

X > or = 0  

Sqrt x

Questions & Answers

QUESTION:

Prove that if \(x\) is irrational and \(x \geq 0\), then \(\sqrt{x}\) is irrational.

Equation Transcription:

Text Transcription:

x  

X > or = 0  

Sqrt x

ANSWER:

Solution :

Step 1 : 

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

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