[tex]\frac{|3-2\sqrt2|}{|4-3\sqrt2|-1}\\
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\text{dla dodatniej wartosci bezwzglednej}\\
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\frac{3-2\sqrt2}{4-3\sqrt2-1}=\frac{3-2\sqrt2}{3-3\sqrt2}*\frac{3+3\sqrt2}{3+3\sqrt2}=\frac{(3-2\sqrt2)(3+3\sqrt2)}{3^2-(3\sqrt2)^2}=\frac{9+9\sqrt2-6\sqrt2-12}{9-18}=\frac{3\sqrt2-3}{{-9}}=\frac{-3+3\sqrt2}{-9}=\frac{-3(1-\sqrt2)}{-9}=\frac{1-\sqrt2}3[/tex]
[tex]\text{dla ujemnej wartosci bezwzglednej}\\
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\frac{-(3-2\sqrt2)}{-(4-3\sqrt2)-1}=\frac{-3+2\sqrt2}{-4+3\sqrt2-1}=\frac{-3+2\sqrt2}{-5+3\sqrt2}=\frac{2\sqrt2-3}{3\sqrt2-5}*\frac{3\sqrt2+5}{3\sqrt2+5}=\frac{(2\sqrt2-3)(3\sqrt2+5)}{(3\sqrt2)^2-5^2}=\frac{12+10\sqrt2-9\sqrt2-15}{18-25}=\frac{\sqrt2-3}{-7}=\frac{-3+\sqrt2}{-7}=\frac{-(3-\sqrt2)}{-7}=\frac{3-\sqrt2}7[/tex]
