Elementary Algebra

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

Chapter 9 - Roots and Radicals - 9.2 - Simplifying Radicals - Concept Quiz 9.2 - Page 406: 10



Work Step by Step

Checking if the statement is true or false by simplifying the expression ourselves, we obtain: $\sqrt {121x^{2}y^{4}}$ =$\sqrt {121}\times \sqrt {x^{2}}\times\sqrt {y^{4}}$ =$\sqrt {11^{2}}\times \sqrt {x^{2}}\times\sqrt {y^{4}}$ =$11 \times x \times y^{2}$ =$11xy^{2}$ Therefore, $\sqrt {121x^{2}y^{4}}=11xy^{2}$. Thus, the original statement is false.
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