Answer
$15+4\sqrt 14$
Work Step by Step
Applying the rules of radicals:
$(\sqrt 7+\sqrt 8)(\sqrt 7+\sqrt 8)$
$=(\sqrt 7+\sqrt 8)^2$
$=7+2\sqrt 56+8$
$=15+4\sqrt 14$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
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
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