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: 24

Answer

$10-2\sqrt 7-5\sqrt 3+\sqrt {21}$

Work Step by Step

$(2-\sqrt 3)(5-\sqrt 7)$ =$2(5-\sqrt 7)-\sqrt 3(5-\sqrt 7)$ =$10-2\sqrt 7-5\sqrt 3+(\sqrt 3\sqrt 7)$ =$10-2\sqrt 7-5\sqrt 3+\sqrt {3\times7}$ =$10-2\sqrt 7-5\sqrt 3+\sqrt {21}$
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