Answer
$\color{blue}{11}$
Work Step by Step
RECALL:
(1) $a^{1/n} = \sqrt[n]{a}$
(2) If $a \gt 0$, then $\sqrt[n]{a^n} = a$
Use rule (1) above to obtain:
$121^{1/2} = \sqrt{121}$
Use rule (2) above to simplify and have:
$\sqrt{121}=\sqrt{11^2}=\color{blue}{11}$