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Which choice gives an example that supports the conjecture, and a counterexample that nows the conjecture is false? For any real number n, √n² = n. A) √(5)² =5, but √√(2)² = 2. B) √(-7)=7, but √√(-2)² = 2. but √√(2)² = 2. C)√(-6)=3, D) √√(5)² =5, but √√(-2)² = 2.

Which choice gives an example that supports the conjecture, and a counterexample that nows the conjecture is false? For any real number n, √n² = n. A) √(5)² =5, but √√(2)² = 2. B) √(-7)=7, but √√(-2)² = 2. but √√(2)² = 2. C)√(-6)=3, D) √√(5)² =5, but √√(-2)² = 2.

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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**Question 3:** Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false? For any real number \( n \), \(\sqrt{n^2} = n\). A) \(\sqrt{5^2} = 5\), but \(\sqrt{(-2)^2} = 2\). B) \(\sqrt{7^2} = 7\), but \(\sqrt{(-2)^2} = 2\). C) \(\sqrt{6^2} = 6\), but \(\sqrt{2^2} = 2\). D) \(\sqrt{5^2} = 5\), but \(\sqrt{(-2)^2} = 2\).
Transcribed Image Text:**Question 3:** Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false? For any real number \( n \), \(\sqrt{n^2} = n\). A) \(\sqrt{5^2} = 5\), but \(\sqrt{(-2)^2} = 2\). B) \(\sqrt{7^2} = 7\), but \(\sqrt{(-2)^2} = 2\). C) \(\sqrt{6^2} = 6\), but \(\sqrt{2^2} = 2\). D) \(\sqrt{5^2} = 5\), but \(\sqrt{(-2)^2} = 2\).
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