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1. (2 points) Write a response that's at least five sentences to the following: A calculator display shows that √2 = 1.414213562, and 1414213562 1.414213562 = This suggests that √2 is a 1000000000 rational number, which contradicts Theorem 4.7.1. Explain the discrepancy. Note: Theorem 4.7.1 just says what we showed in class, that √√2 is irrational.

1. (2 points) Write a response that's at least five sentences to the following: A calculator display shows that √2 = 1.414213562, and 1414213562 1.414213562 = This suggests that √2 is a 1000000000 rational number, which contradicts Theorem 4.7.1. Explain the discrepancy. Note: Theorem 4.7.1 just says what we showed in class, that √√2 is irrational.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. (2 points) Write a response that's at least five sentences to the following: A calculator display shows that √2= 1.414213562, and 1414213562 1.414213562 = This suggests that √2 is a 1000000000 rational number, which contradicts Theorem 4.7.1. Explain the discrepancy. Note: Theorem 4.7.1 just says what we showed in class, that √√2 is irrational.
Transcribed Image Text:1. (2 points) Write a response that's at least five sentences to the following: A calculator display shows that √2= 1.414213562, and 1414213562 1.414213562 = This suggests that √2 is a 1000000000 rational number, which contradicts Theorem 4.7.1. Explain the discrepancy. Note: Theorem 4.7.1 just says what we showed in class, that √√2 is irrational.
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