Solution Found!
Consider the following sentence: If x is rational then is
Chapter 4, Problem 14E(choose chapter or problem)
QUESTION:
Consider the following sentence: If x is rational then \(\sqrt{x}\) is irrational. Is this sentence always true, sometimes true and sometimes false, or always false? Justify your answer.
Text Transcription:
sqrt x
Questions & Answers
QUESTION:
Consider the following sentence: If x is rational then \(\sqrt{x}\) is irrational. Is this sentence always true, sometimes true and sometimes false, or always false? Justify your answer.
Text Transcription:
sqrt x
ANSWER:Solution : let x is a rational number i.e. x∈R
So is irrational not always true.
Counter example :
Case 1: when x∈R then