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: 114

Answer

$3^{20}x^{51}y^8\times\sqrt{3y}$

Work Step by Step

$\sqrt{3^{41}x^{102}y^{17}}$ Factor out even powers. $\sqrt{(3)(3^{40})(x^{102})(y)(y^{16})}$ Use the Product Property of Square Roots. $\sqrt{3^{40}}\times\sqrt{3}\times\sqrt {x^{102}}\times\sqrt y\times\sqrt{y^{16}}$ Simplify square roots with variables to even powers. $3^{20}\times\sqrt3\times x^{51}\times\sqrt y \times y^8$ Use the Product Property of Square Roots. $3^{20}x^{51}y^8\times\sqrt{3y}$
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