   # Evaluate the expression and write your answer in the form a + bi. 8. 3 + 2 i 1 − 4 i ### Multivariable Calculus

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305266643

#### Solutions

Chapter
Section ### Multivariable Calculus

8th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781305266643
Chapter G, Problem 8E
Textbook Problem
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## Evaluate the expression and write your answer in the form a + bi.8. 3 + 2 i 1 − 4 i

To determine

To evaluate: The expression 3+2i14i in the form of a+bi.

### Explanation of Solution

Obtain the complex conjugate of number 14i.

Use the property of conjugates z+w¯=z¯+w¯ and zw¯=z¯w¯ to simplify the expression as follows.

14i¯=1¯4i¯=1¯(4¯(i¯))=1+4i[i¯=i]

Thus, the complex conjugate of the number 14i is 1+4i.

Multiply numerator and denominator of the expression 3+2i14i by the complex conjugate of the denominator 14i and simplify the expression as follows

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