/*! 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 31 Perform the indicated operations... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 31

Perform the indicated operations and write the result in standard form. $$5 \sqrt{-16}+3 \sqrt{-81}$$

Short Answer

Expert verified
The result in standard form is \(47i\).

Step by step solution

01

Simplify the first term

The first term is \(5 \sqrt{-16}\). The square root of \(16\) is \(4\), the negative sign gives us an imaginary unit \(i\). Multiply \(5\) and \(4i\) to get \(20i\) as the simplified first term.
02

Simplify the second term

The second term is \(3 \sqrt{-81}\). The square root of \(81\) is \(9\), the negative sign gives us an imaginary unit \(i\). Multiply \(3\) and \(9i\) to get \(27i\) as the simplified second term.
03

Add the simplified terms

Add \(20i\) and \(27i\) together to get \(47i\).

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

Find the horizontal asymptote, if there is one, of the graph of rational function. $$f(x)=\frac{-2 x+1}{3 x+5}$$

Will help you prepare for the material covered in the next section. Simplify: \(\frac{x+1}{x+3}-2\)

Solve: \(\sqrt{x+7}-1=x\)

Solve each inequality using a graphing utility. $$2 x^{2}+5 x-3 \leq 0$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \((x+3)(x-1) \geq 0\) and \(\frac{x+3}{x-1} \geq 0\) have the same solution set.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Calculus

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.