Answer
$212_{five}$
Work Step by Step
$(3\times 4)_{10}=(12)_{10}=2\times 5+2=(22)_{five}$
Record the $2$; carry the $2$.
$\begin{array}{llll}
& 3 & 4_{five} & \\
\times & & 3_{five} & \\
-- & -- & -- & \\
& & 2_{five} &
\end{array}$
$(3\times 3)_{10}+2=11_{ten}=2\times 5+1=(21)_{five}$
Record the 21.
$\begin{array}{llll}
& 3 & 4_{five} & \\
\times & & 3_{five} & \\
-- & -- & -- & \\
2 & 1 & 2_{five} &
\end{array}$
