/*! 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 50 Evaluate the expressions, roundi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 50

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt[4]{81-16} $$

Short Answer

Expert verified
The evaluated expression \(\sqrt[4]{81-16}\) rounded to four significant digits is approximately 2.828.

Step by step solution

01

Simplify the expression inside the fourth root

First, we will simplify the expression inside the fourth root by subtracting 16 from 81: \(81 - 16 = 65\) So the expression becomes: \(\sqrt[4]{65}\)
02

Evaluate the fourth root of the simplified expression

Now, we will find the fourth root of 65. Using a calculator, we get: \(\sqrt[4]{65} \approx 2.8284\)
03

Round to four significant digits

Finally, we will round our answer to four significant digits: \(\sqrt[4]{65} \approx 2.828\) The evaluated expression rounded to four significant digits is 2.828.

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 all possible real solutions of each equation \(x^{3}+4 x^{2}+4 x+3=0\)

\(\left(x^{3}-2 x^{2}+4\right)\left(3 x^{2}-x+2\right)\)

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(x^{4}+x^{2}-1=0\)

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(2 x^{2}+7 x-4=0\)

\(\left(x^{2}+1\right) \sqrt{x+1}-\sqrt{(x+1)^{3}}\)
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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.