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Between which two integers is the square roots listed below? List the smaller number first. A. -V97 is between and B. V24 is between and

Between which two integers is the square roots listed below? List the smaller number first. A. -V97 is between and B. V24 is between and

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Between which two integers is the square root listed below? List the smaller number first.
**Educational Content: Determining Square Roots and Their Integer Bounds** --- **Problem Statement:** Determine between which two integers each of the following square roots is located. List the smaller number first. 1. \( A. \, \sqrt{97} \) is between _____ and _____ 2. \( B. \, \sqrt{24} \) is between _____ and _____ **Instructions:** For each square root, calculate the approximate value and identify the two consecutive integers it lies between. Fill in the blanks with the appropriate integers in ascending order. --- **Explanation:** - \(\sqrt{97}\): - Calculate approximate value: Since \(9^2 = 81\) and \(10^2 = 100\), check closer values. - Approximate \(\sqrt{97}\) is between 9 and 10. - \(\sqrt{24}\): - Calculate approximate value: Since \(4^2 = 16\) and \(5^2 = 25\), - Approximate \(\sqrt{24}\) is between 4 and 5.
Transcribed Image Text:**Educational Content: Determining Square Roots and Their Integer Bounds** --- **Problem Statement:** Determine between which two integers each of the following square roots is located. List the smaller number first. 1. \( A. \, \sqrt{97} \) is between _____ and _____ 2. \( B. \, \sqrt{24} \) is between _____ and _____ **Instructions:** For each square root, calculate the approximate value and identify the two consecutive integers it lies between. Fill in the blanks with the appropriate integers in ascending order. --- **Explanation:** - \(\sqrt{97}\): - Calculate approximate value: Since \(9^2 = 81\) and \(10^2 = 100\), check closer values. - Approximate \(\sqrt{97}\) is between 9 and 10. - \(\sqrt{24}\): - Calculate approximate value: Since \(4^2 = 16\) and \(5^2 = 25\), - Approximate \(\sqrt{24}\) is between 4 and 5.
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