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 - 8.3 Multiplying and Dividing Radicals - 8.3 Exercises - Page 643: 83

Answer

$8+2\sqrt {15}$

Work Step by Step

Step 1: $(\sqrt 3+\sqrt 5)^{2}$ Step 2: $(\sqrt 3)^{2}+(\sqrt 5)^{2}+2(\sqrt 3)(\sqrt 5)$ Step 3: $3+5+2\sqrt {3\times5}$ Step 4: $8+2\sqrt {15}$
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