Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.4 The Irrational Numbers - Exercise Set 5.4 - Page 299: 112

Answer

Earlier solution of problems like \[{{x}^{2}}+1=0\] and \[\sqrt{-49}\] were thought to be impossible, then there is a Greek mathematician and engineer Heron of Alexandria is the one to discover the imaginary number to find the solution above mentioned problem. Application: Imaginary numbers are used to find the solution of the square root of the negative numbers. Curiosities: curiosities related to imaginary numbers are: The square root of imaginary number \[i\]has both real and imaginary parts.
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