Question

Simplify the square roots, if possible. $$ \sqrt{-1} $$

   Simplify the square roots, if possible.
$$
\sqrt{-1}
$$

Prealgebra & Introductory Algebra

Prealgebra & Introductory Algebra

Julie Miller, Molly… 2nd Edition

Chapter 15, Problem 38

Instant Answer

Solved by Expert Victor Salazar

04/06/2022

Step 1

It is an imaginary number. The square root of -1 is denoted as "i" in mathematics. Show more…

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Simplify the square roots, if possible. $$ \sqrt{-1} $$

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Key Concepts

Imaginary Unit

The imaginary unit, denoted as i, is defined to be the square root of -1. This concept allows us to extend the real number system to include solutions to equations that have no real solutions, such as those involving the square roots of negative numbers.

Complex Numbers

Complex numbers incorporate real numbers and multiples of the imaginary unit, and are expressed in the form a + bi. This broader number system enables the handling and simplification of expressions, like the square root of negative numbers, which are not possible within the real numbers alone.

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