Question

Evaluate the expression, if possible. $$\sqrt{-36}$$

Name: Problem 64, Chapter 0: Intermediate Algebra
Uploaded: 2020-06-23T11:17:47-08:00
Duration: 30 s
Channel: Ankit Gupta
Description: Evaluate the expression, if possible. √(-36)

   Evaluate the expression, if possible.
$$\sqrt{-36}$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 0, Problem 64

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Solved by Expert Ankit Gupta

06/23/2020

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This is because the square of any real number is always positive. Show more…

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Evaluate the expression, if possible. $$\sqrt{-36}$$

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Key Concepts

Imaginary Unit

The imaginary unit, denoted as i, is defined as the square root of -1. It allows us to extend the real number system to include solutions for equations that involve square roots of negative numbers, making it a fundamental concept in complex number theory.

Complex Numbers

Complex numbers consist of a real part and an imaginary part and are generally written in the form a + bi. They arise naturally when dealing with square roots of negative numbers, allowing for a broader set of solutions in algebra and calculus.

Square Roots of Negative Numbers

When taking the square root of a negative number, the expression is rewritten by factoring out -1, so that ?(-x) is expressed as ?x multiplied by ?(-1), which is i. This process is essential for evaluating expressions like ?(-36) and transitioning from real to complex numbers.

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