#### 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}

Published by
Pearson

ISBN 10:
0-32184-874-8

ISBN 13:
978-0-32184-874-1

$\sqrt[]{y^2-b^2}$

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