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[tex]\displaystyle{ \frac { \: 2 \sqrt{18} \, - \, \sqrt{32} \: } { 2 \, \sqrt{2} } } \:\: =\\\\\\\displaystyle{ \frac { \: 2 \sqrt{2 \cdot 9} \, - \, \sqrt{4 \cdot 2 \cdot 4} \: } { 2 \, \sqrt{2} } } \:\: =\\\\\\\displaystyle{ \frac { \: 2 \cdot \sqrt{2} \cdot \sqrt{9} \, - \, \sqrt{4} \cdot \sqrt{2} \cdot \sqrt{4} \: } { 2 \, \sqrt{2} } } \:\: =\\\\\\\displaystyle{ \frac { \: 2 \cdot \sqrt{2} \cdot \sqrt{9} \, - \, 2 \cdot \sqrt{2} \cdot \sqrt{4} \: } { 2 \, \sqrt{2} } } \:\: =\\\\\\[/tex]
[tex]\displaystyle{ \: \sqrt{9} \, - \, \sqrt{4} \: } \:\: = \:\: \displaystyle{ 3 \, - \, 2 } \:\: = \:\: \displaystyle{ \: 1 \: }\\\\\\\boxed{\displaystyle{ \:\:\: 1 \:\:\: }}[/tex]
