\[3\sqrt{14} = \sqrt{9 \cdot 14} = \sqrt{126};\ \]
\[7\sqrt{3} = \sqrt{49 \cdot 3} = \sqrt{147}\]
\[\sqrt{126} < \sqrt{144} < \sqrt{147}\]
\[\sqrt{144} = 12\]
\[Ответ:одно\ целое\ число.\]