Answer
$\sqrt[]{y^2-b^2}$
Work Step by Step
Using $\sqrt[a]{x}\sqrt[a]{y}=\sqrt[a]{xy}$, the given expression, $
\sqrt[]{y-b}\sqrt[]{y+b}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[]{(y-b)(y+b)}
\\\\=
\sqrt[]{y^2-b^2}
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 17
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