Question

Find each root. See Example 1. $$\sqrt{-1}$$

   Find each root. See Example 1.
$$\sqrt{-1}$$

Algebra for College Students

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 7, Problem 22

Instant Answer

Solved by Expert Joshua Eastwood

04/14/2020

Step 1

In the real number system, the square root of a negative number is undefined. This is because when a real number is squared, the result is always a non-negative number. Show more…

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Find each root. See Example 1. $$\sqrt{-1}$$

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Key Concepts

Complex Numbers

Complex numbers extend the real numbers by introducing a component that is a multiple of the imaginary unit. They are usually written in the form a + bi, where a and b are real numbers and i is the imaginary unit. This system allows for solutions to equations that would otherwise have no real solutions.

Imaginary Unit

The imaginary unit, denoted as i, is defined such that i² = -1. It provides a means to take square roots of negative numbers and is a fundamental concept in the field of complex numbers, allowing for the resolution of equations like x² + 1 = 0.

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