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 - Page 634: 56

Answer

Shania made a mistake in simplifying $8\sqrt{20}$. The correct answer is $9\sqrt5$.

Work Step by Step

Shania made a mistake in simplifying $8\sqrt{20}$. The correct solution and answer is: $8\sqrt{20} -7\sqrt5 \\=8\sqrt{4(5)}-7\sqrt{5} \\=8\cdot 2\sqrt5 - 7\sqrt5 \\=16\sqrt5 - 7\sqrt5 \\=(16-7)\sqrt5 \\=9\sqrt5$
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