Answer
$y^9\sqrt{y}$
Work Step by Step
Getting the perfect factors and then extracting its root, the simplified form of the given expression, $
\sqrt{y^{19}}
,$ is
\begin{array}{l}\require{cancel}
\sqrt{y^{18}\cdot y}
\\\\=
\sqrt{(y^9)^2\cdot y}
\\\\=
y^9\sqrt{y}
.\end{array}
Note that variables are assumed to represent positive real numbers.