/*! 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 56 Evaluate the expressions, roundi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 56

Evaluate the expressions, rounding your answer to four significant digits where necessary. $$ \sqrt{\frac{1}{9}(3+33)} $$

Short Answer

Expert verified
The simplified expression is \(\sqrt{4}\), which equals 2. No rounding is necessary since the answer is a whole number.

Step by step solution

01

Simplify the expression inside the square root

We first need to simplify the expression inside the square root \(\sqrt{\frac{1}{9} (3 + 33)}\). To do this, we add the numbers in the parentheses and then multiply the result by the fraction: \(\frac{1}{9} (3 + 33) = \frac{1}{9} (36) \)
02

Multiply the fraction

Next, we multiply the fraction with the number inside the parentheses: \(\frac{1}{9} (36) = \frac{36}{9}\)
03

Simplify the fraction

Now, we simplify the fraction: \(\frac{36}{9} = 4\)
04

Take the square root

Now that we've simplified the expression inside the square root, we can take the square root itself: \(\sqrt{4} = 2\) Since the answer is a whole number, there's no need to round it to 4 significant digits. So, the final answer is 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

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(3+\frac{3}{2-9}\)

Calculate each expression in Exencises giving the answer as \(a\) whole mumber or a fraction in lowest terms.\(-\left(\frac{8(1-4)^{2}}{-9(5-1)^{2}}\right)\)

\(6 y^{2}+17 y+12\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{2}{3+5^{7-9}}\)

Convert each expression in Exercises into its technology formula equivalent as in the table in the text.\(\frac{4 \times 2}{\left(\frac{2}{3}\right)}\)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

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.