/*! 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 81 Add or subtract terms whenever p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 81

Add or subtract terms whenever possible. $$\sqrt{2}+\sqrt[3]{8}$$

Short Answer

Expert verified
\(\sqrt{2} + \sqrt[3]{8} = \sqrt{2} + 2\)

Step by step solution

01

Identify the Radicands

First, identify the radicand of both terms. The radicand is the number or expression underneath the radical. In this case, the radicands are \(2\) and \(8\).
02

Simplify Square Root

The square root of 2 is already in its simplest form. This is because 2 is a prime number, and cannot be factored further.
03

Simplify Cube Root

The cube root of 8 can be simplified, because 8 can be written as 2 * 2 * 2. The cube root of 8 is therefore 2.
04

Add the Simplified Terms

Now add together the square root of 2 and the cube root of 8 which was simplified as 2. Therefore, \(\sqrt{2} + \sqrt[3]{8} = \sqrt{2} + 2\)

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

Evaluate each exponential expression in $$\frac{x^{14}}{x^{-7}}$$

Explain how to factor \(x^{3}+1\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. First factoring out the greatest common factor makes it easier for me to determine how to factor the remaining factor, assuming that it is not prime.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The trinomial \(x^{2}-4 x-4\) is a prime polynomial.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) toproduce a true statement. $$5^{2} \cdot 5^{-2}>2^{5} \cdot 2^{-5}$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

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.