False Claim #5: √ 4 is irrational. (FC-5) Bogus proof of (FC-5). We’ll follow the same outline as Example 4.21. Our proof is by contradiction. Assume that √ 4 is rational. Therefore, there exist integers n and d 6= 0 such that n/d = √ 4, where n and d have no common divisors.
State precisely what’s wrong with the proof of (FC-5).
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