Prove that the following is a valid argument: All real numbers have nonnegative squares. The number i has a negative square. Therefore, the number i is not a real number.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.9: Opposites And Absolute Values
Problem 45WE
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#2.
Prove that the following is a valid argument:
All real numbers have nonnegative squares.
The number i has a negative square.
Therefore, the number i is not a real number.
Transcribed Image Text:#2. Prove that the following is a valid argument: All real numbers have nonnegative squares. The number i has a negative square. Therefore, the number i is not a real number.
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