#### Answer

$\dfrac{11}{t}$

#### Work Step by Step

Using the properties of radicals, the given expression, $
\sqrt[]{\dfrac{121}{t^2}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\sqrt[]{121}}{\sqrt[]{t^2}}
\\\\=
\dfrac{\sqrt[]{(11)^2}}{\sqrt[]{(t)^2}}
\\\\=
\dfrac{11}{t}
\end{array}
* Note that it is assumed that all variables represent positive numbers.