Answer
$30a$
Work Step by Step
Using the properties of radicals, the given expression, $
(5\sqrt[]{a})(6\sqrt[]{a})
,$ simplifies to
\begin{array}{l}
5(6)\sqrt[]{a(a)}
\\\\=
30\sqrt[]{(a)^2}
\\\\=
30a
.\end{array}
Note that all variables represent positive real numbers.