Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 10 - Quadratic Equations - 10.1 - Quadratic Equations - Problem Set 10.1 - Page 444: 80

Answer

A) Negative B) Negative C) Positive D) Positive E) Positive F) Positive G) Negative H) Positive

Work Step by Step

In order to solve this problem, square the whole number. If the value of the whole number squared is greater than the value of the number within the radical, that means that this number is greater than the radical. If this value is less than the radicand, the whole number is less than the radicand. Using this, consider the negatives and positives given and then solve. (Note, if the number inside the radical is multiplied by another number, you must consider that. For instance, in the case of f), you must compare $10^2$ with $3 \times 6^2$.
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