Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-3 Operations With Radical Expressions - Practice and Problem-Solving Exercises - Page 630: 52

Answer

$15+4\sqrt 14$

Work Step by Step

Applying the rules of radicals: $(\sqrt 7+\sqrt 8)(\sqrt 7+\sqrt 8)$ $=(\sqrt 7+\sqrt 8)^2$ $=7+2\sqrt 56+8$ $=15+4\sqrt 14$
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