AMC 12 2020b Problem 13

Which of the following is the value of $\sqrt{\log_2{6}+\log_3{6}}?$

$\textbf{(A) } 1 \textbf{(B) } \sqrt{\log_5{6}} \textbf{(C) } 2 \textbf{(D) } \sqrt{\log_2{3}}+\sqrt{\log_3{2}} \textbf{(E) } \sqrt{\log_2{6}}+\sqrt{\log_3{6}}$