Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.4 - Products and Quotients Involving Radicals - Concept Quiz 9.4 - Page 417: 2

Answer

False

Work Step by Step

Consider $\sqrt{2}\times \sqrt{2}$. This results in the square root of 4 after multiplying, which simplifies to 2. Since 2 is not a radical, the product of two radicals is not always a radical.
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