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Which expression is equivalent to V- A: -2i B: -4i С: 21 D: 4i

Which expression is equivalent to V- A: -2i B: -4i С: 21 D: 4i

Algebra and Trigonometry (6th Edition)
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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**Question:** Which expression is equivalent to \(\sqrt{-4}\)? - **A:** \(-2i\) - **B:** \(-4i\) - **C:** \(2i\) - **D:** \(4i\) **Explanation:** The square root of a negative number involves the imaginary unit \(i\), where \(i = \sqrt{-1}\). To solve \(\sqrt{-4}\), rewrite it as \(\sqrt{4 \times -1}\), which equals \(\sqrt{4} \times \sqrt{-1} = 2i\). Therefore, the correct answer is **C: \(2i\)**.
Transcribed Image Text:**Question:** Which expression is equivalent to \(\sqrt{-4}\)? - **A:** \(-2i\) - **B:** \(-4i\) - **C:** \(2i\) - **D:** \(4i\) **Explanation:** The square root of a negative number involves the imaginary unit \(i\), where \(i = \sqrt{-1}\). To solve \(\sqrt{-4}\), rewrite it as \(\sqrt{4 \times -1}\), which equals \(\sqrt{4} \times \sqrt{-1} = 2i\). Therefore, the correct answer is **C: \(2i\)**.
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