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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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15
### Simplification of Radical Expressions

#### Problem Statement:
Simplify the expression: 

\[ \frac{\sqrt{-12}}{\sqrt{6}} \]

#### Answer Choices:
1. \( \frac{\sqrt{2}}{2} \)
2. \( \sqrt{2i} \)
3. \( 2i \)

(Answer choice selected: \( \boxed{2i} \))

#### Directions:
Select the correct simplification from the multiple-choice options provided. For this problem, we are specifically looking to simplify the given radical expression involving complex numbers.

**Note**: This problem involves understanding complex numbers where the square root of a negative number introduces the imaginary unit \(i\), defined as \(i = \sqrt{-1}\).

Click "NEXT QUESTION" to proceed to the next exercise.
Transcribed Image Text:### Simplification of Radical Expressions #### Problem Statement: Simplify the expression: \[ \frac{\sqrt{-12}}{\sqrt{6}} \] #### Answer Choices: 1. \( \frac{\sqrt{2}}{2} \) 2. \( \sqrt{2i} \) 3. \( 2i \) (Answer choice selected: \( \boxed{2i} \)) #### Directions: Select the correct simplification from the multiple-choice options provided. For this problem, we are specifically looking to simplify the given radical expression involving complex numbers. **Note**: This problem involves understanding complex numbers where the square root of a negative number introduces the imaginary unit \(i\), defined as \(i = \sqrt{-1}\). Click "NEXT QUESTION" to proceed to the next exercise.
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