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 - Problem Set 9.2: 32

Answer

$y^2\sqrt{x}$

Work Step by Step

RECALL: For any non-negative real number, $\sqrt{a^2} = a$ Factor the radicand (which is the expression inside the radical sign) so that at least one factor is a square, and then simplify using the rule above to obtain: $=\sqrt{(y^4)(x)} \\=\sqrt{(y^2)^2(x)} \\=y^2\sqrt{x}$
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