Answer
$-20$
Work Step by Step
Using $(a+b)(a-b)=a^2-b^2$, the given expression, $
(\sqrt{5}+5)(\sqrt{5}-5)
,$ simplifies to
\begin{array}{l}\require{cancel}
(\sqrt{5})^2-(5)^2
\\\\=
5-25
\\\\=
-20
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Practice Final Exam - Page 705: 18
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