2020 AMC 12B Problem 13

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

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

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.