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Chapter 9: Problem 45

What is the imaginary unit \(i ?\)

Short Answer

Expert verified
The imaginary unit \(i\) is defined as the square root of -1, i.e., \( i = \sqrt{-1}\)

Step by step solution

01

Imaginary Unit Definition

In mathematics, the imaginary unit allows the real number system \(\mathbb{R}\) to be extended to the complex number system \(\mathbb{C}\), which includes the arithmetic of complex numbers. The imaginary unit is denoted by the symbol \(i\) and by the definition, it is a mathematical term used to describe the square root of -1. In other words, \( i = \sqrt{-1}\)

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