Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.1 - Roots and Radicals - Concept Quiz 9.1: 9

Answer

True

Work Step by Step

We simplify the expression by factoring out $\sqrt 2$ as it is a part of all of the terms in the expression: $3\sqrt 2-5\sqrt 2+\sqrt 2$ =$\sqrt 2(3-5+1)$ =$\sqrt 2(-2+1)$ =$\sqrt 2(-1)$ =$-\sqrt 2$ The expression does indeed reduce to $-\sqrt 2$.
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