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3 Show that 2 is irrational.

3 Show 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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**Prove that \(\sqrt[3]{2}\) is irrational.** This exercise involves demonstrating that the cube root of 2 (\(\sqrt[3]{2}\)) cannot be expressed as a fraction of two integers (i.e., it is an irrational number).
Transcribed Image Text:**Prove that \(\sqrt[3]{2}\) is irrational.** This exercise involves demonstrating that the cube root of 2 (\(\sqrt[3]{2}\)) cannot be expressed as a fraction of two integers (i.e., it is an irrational number).
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