Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q34.

Expert-verified

Algebra 1

Found in: Page 10

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Estimate each square root to the nearest whole number.
$\sqrt{112}$

The square root to the nearest whole number is 11.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. List some perfect squares.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169….

Step 2. Locate interval.

112 lies between 100 and 121.

Step 3. Find the nearest perfect square.

Distance of 112 from 100 = 112 – 100 = 12

Distance of 112 from 121 = 121 – 112 = 9

Since 9 < 12. So, 121 is closer to 112.

Step 4. Find the square root of the nearest perfect square

We know $121 = 11^{2}$ . So, $\sqrt{121} = 11$ .

Most popular questions for Math Textbooks

Evaluate each expression.

$10 + 8^{3} \div 16$

Simplify each square root.

$\sqrt{\frac{25}{324}}$

Write an algebraic expression for each verbal expression.

Two-fifths of the square of a number $j$

Write a verbal expression for each algebraic expression.

$2 m$

Write an algebraic expression for each verbal expression.

a number less than 35

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free