licznik=3 1/3: √6,25* (3⁻¹ - 17⁰/∛8)= 10/3: 2,5-(1/3 - 1/2)= 10/3: 5/2- ( 2/6-3/6)= 10/3*2/5+1/6= 4/3+1/6=8/6+1/6=9/6=3/2 mianownik= √(7/2)² * 5/21 +√2/2= 7/2*5/21 +√2/2=5/6+√2/2=5/6+ 3√2/6=(5+3√2)/6 całosc= 3/2: (5+3√2)/6= 3/2 * 6/(5+3√2)=9/(5+3√2)= [ 9(5-3√2)] / ( 25-18)=(45-27√2) / 7 32% tego=32/100* (45-27√2)/7= 8/25 * ( 45-27√2)/7= ( 360-216√2)/175
[latex]frac{3frac{1}{3} : sqrt{6,25} - ( 3^{-1} - frac{17^{0}}{sqrt[3]{8}} ) } {( sqrt{3frac{1}{2}})^{2} cdot frac{ sqrt[3]{125} } {21} + frac{ sqrt{2} }{2} } =frac{frac{10}{3} :2,5- ( frac{1}{3} - frac{1}{2} ) } {3frac{1}{2} cdot frac{5} {21} + frac{ sqrt{2} }{2} } =[/latex] [latex]frac{frac{10}{3} : frac{5}{2} - ( frac{2}{6} - frac{3}{6} ) } {frac{7}{2} cdot frac{5} {21} + frac{ sqrt{2} }{2} } =frac{frac{10}{3} cdot frac{2}{5} - ( - frac{1}{6} ) } { frac{5} {6} + frac{ sqrt{2} }{2} } =[/latex] [latex]frac{frac{4}{3} +frac{1}{6}} { frac{5} {6} + frac{3 sqrt{2} }{6} } =frac{frac{8}{6} +frac{1}{6}} { frac{5+3 sqrt{2} }{6} } =frac{frac{9}{6}} { frac{5+3 sqrt{2} }{6} } =frac{3}{2} cdot frac{6}{5+3 sqrt{2} }=[/latex] [latex]frac{9}{5+3 sqrt{2} }=frac{9(5-3 sqrt{2})}{(5+3 sqrt{2})(5-3 sqrt{2}) }=frac{9(5-3 sqrt{2})}{25-18}=frac{9(5-3 sqrt{2})}{7}[/latex] ----------------- [latex]32 \% z frac{9(5-3 sqrt{2})}{7}= frac{32}{100} cdot frac{9(5-3 sqrt{2})}{7}=[/latex] [latex]frac{8}{25} cdot frac{9(5-3 sqrt{2})}{7}=frac{72(5-3 sqrt{2})}{175}[/latex]
