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10 + 5i 4i

10 + 5i 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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Please Simplify the following operation.
The expression depicted is \(\frac{10 + 5i}{4i}\). This is a complex fraction, where the numerator is \(10 + 5i\) and the denominator is \(4i\). Here, \(i\) represents the imaginary unit, which is defined as \(\sqrt{-1}\). To simplify this expression, you would typically multiply both the numerator and the denominator by the conjugate of the denominator. However, since the denominator is purely imaginary, you can multiply the numerator and denominator by \(-i\) to remove the imaginary unit from the denominator.
Transcribed Image Text:The expression depicted is \(\frac{10 + 5i}{4i}\). This is a complex fraction, where the numerator is \(10 + 5i\) and the denominator is \(4i\). Here, \(i\) represents the imaginary unit, which is defined as \(\sqrt{-1}\). To simplify this expression, you would typically multiply both the numerator and the denominator by the conjugate of the denominator. However, since the denominator is purely imaginary, you can multiply the numerator and denominator by \(-i\) to remove the imaginary unit from the denominator.
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