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A calculator display shows that = 1.414213562, and This
Chapter 4, Problem 1E(choose chapter or problem)
A calculator display shows that \(\sqrt{2}\) = 1.414213562, and \(1.414213562=\frac{1414213562}{1000000000}\). This suggests that \(\sqrt{2}\) is a rational number, which contradicts Theorem 4.7.1. Explain the discrepancy.
Text Transcription:
sqrt 2
1.414213562 = 1414213562/1000000000
Questions & Answers
QUESTION:
A calculator display shows that \(\sqrt{2}\) = 1.414213562, and \(1.414213562=\frac{1414213562}{1000000000}\). This suggests that \(\sqrt{2}\) is a rational number, which contradicts Theorem 4.7.1. Explain the discrepancy.
Text Transcription:
sqrt 2
1.414213562 = 1414213562/1000000000
ANSWER:Solution:Step 1:In this question we have to resolve the discrepancy of calculator display of resulting in rational representation and the actual value of without any rounding off.