Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.2 Simplifying, Adding, and Subtracting Radicals - 8.2 Exercises: 30

Answer

$\color{blue}{36xy^2z^4\sqrt{5xy}}$

Work Step by Step

Factor the radicand so that at least one factor is a perfect square: $=\sqrt{(1296x^2y^4z^{8})(5xy)} \\=\sqrt{(36xy^2z^4)^2(5xy)}$ Bring out the square root of the perfect square factor to obtain: $=\color{blue}{36xy^2z^4\sqrt{5xy}}$
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