College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Summary, Review, and Test - Review Exercises: 11

Answer

$\sqrt {17}-3$

Work Step by Step

Taking the absolute value of a number means removing the negative sign. Because the square root of $17$ is bigger than $3$, it will give a negative value after subtraction. In order to keep the value positive when the absolute value sign is gone, the order of subtraction will be flipped. $|3-\sqrt {17}| = \sqrt {17}-3$
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