body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

2. Multiplying and Dividing Radical Expressions

Continue to next subchapter

Exercise 98 Page 373

To write a quotient as a complex number, multiply the numerator and the denominator by the complex conjugate of the denominator.

$- \frac{7}{7 4} - \frac{5}{7 4} i$

Practice makes perfect

Recall that the number pairs

a + b i

and

a - b i

are complex conjugates. To write the complex conjugate of a complex number, we only change the sign of the imaginary part. Let's do that for the denominator of our given expression now.

Denominator : Complex Conjugate : 7 - 5 i 7 + 5 i

A shortcut to better grades

Download the app and create a free account to view full content

Subchapter links

Lesson Check p.370

Practice and Problem-Solving Exercises p.371-372

Standardized Test Prep p.373

Mixed Review p.373