Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.2 - Multiplying and Dividing Radicals - Exercise Set: 113

Answer

$2^{21}x^{52}y^6\times\sqrt{2y}$

Work Step by Step

$\sqrt{2^{43}x^{104}y^{13}}$ Factor out even powers. $\sqrt{(2)(2^{42})(x^{104})(y)(y^{12})}$ Use the Product Property of Square Roots. $\sqrt{2^{42}}\times\sqrt{2}\times\sqrt {x^{104}}\times\sqrt y\times\sqrt{y^{12}}$ Simplify square roots with variables to even powers. $2^{21}\times\sqrt2\times x^{52}\times\sqrt y \times y^6$ Use the Product Property of Square Roots. $2^{21}x^{52}y^6\times\sqrt{2y}$
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