\[\sqrt{37^{2} - 35^{2}} - \sqrt{1\frac{11}{25}} =\]
\[= \sqrt{(37 - 35)(37 + 35)} - \sqrt{\frac{36}{25}} =\]
\[= \sqrt{2 \cdot 72} - \frac{6}{5} = \sqrt{144} - 1,2 =\]
\[= 12 - 1,2 = 10,8.\]