The following is an attempted proof of a result. What is the result and is the attempted

Chapter 3, Problem 3.41

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The following is an attempted proof of a result. What is the result and is the attempted proof correct?Proof Assume, without loss of generality, that x is even. Then x = 2a for some integer a. Thusx y2 = (2a)y2 = 2(ay2).Since ay2 is an integer, x y2 is even.

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