/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 46 Explain how to add complex numbe... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 46

Explain how to add complex numbers. Provide an example with your explanation.

Short Answer

Expert verified
The sum of the complex numbers \(4+3i\) and \(2+5i\) is \(6+8i\)

Step by step solution

01

Identify the real and imaginary parts

Consider two complex numbers, \(4+3i\) and \(2+5i\). Here, in the first number, the real part is 4 and the imaginary part is 3, and for the second number, the real part is 2 and the imaginary part is 5.
02

Add the real parts

Add the real components from each complex number together. In this case, that gives \(4 + 2 = 6\). This forms the real part of the result.
03

Add the imaginary parts

Next, add together the imaginary components from each complex number. This gives \(3 + 5 = 8\). This forms the imaginary part of the result.
04

Combine the components into one complex number

Combine the real and imaginary components back into a single complex number, taking the form of \(a + bi\). This gives us the final answer, \(6 + 8i\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What is a rational inequality?

In Exercises \(29-44,\) perform the indicated operations and write the result in standard form. $$\sqrt{-64}-\sqrt{-25}$$

In Exercises \(29-44,\) perform the indicated operations and write the result in standard form. $$\frac{-8+\sqrt{-32}}{24}$$

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ 3 x^{2}-5 x \leq 0 $$

In Exercises \(29-44,\) perform the indicated operations and write the result in standard form. $$(-2+\sqrt{-11})^{2}$$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.