Answer
$12+4\sqrt 2+3\sqrt 5+\sqrt {10}$
Work Step by Step
$(4+\sqrt 5)(3+\sqrt 2)$
=$4(3+\sqrt 2)+\sqrt 5(3+\sqrt 2)$
=$12+4\sqrt 2+3\sqrt 5+(\sqrt 2\sqrt 5)$
=$12+4\sqrt 2+3\sqrt 5+\sqrt {2\times5}$
=$12+4\sqrt 2+3\sqrt 5+\sqrt {10}$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
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 642: 23
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