Odpowiedź:
zad4
c)[tex]\frac{\sqrt[3]{111} }{\sqrt[3]{111} } =\sqrt[3]{\frac{111}{111} } =\sqrt[3]{1} =1[/tex]
d)[tex]\frac{\sqrt[3]{-2000} }{\sqrt[3]{-2} } =\sqrt[3]{\frac{-2000}{-2} } =\sqrt[3]{1000} =10[/tex]
ćw.2
a)[tex]\sqrt{\frac{81}{256} } =\frac{9}{16}[/tex]
b)[tex]\sqrt{2,89} =\frac{\sqrt{289} }{\sqrt{100} } =\frac{17}{10} =1,7[/tex]
c)[tex]\sqrt[3]{-\frac{8}{729} } =-\frac{2}{9}[/tex]
d)[tex]\sqrt[3]{0,064} =0,4[/tex]
ćw.3
a)[tex]\sqrt{20} *\sqrt{125} =\sqrt{20*125} =\sqrt{2500} =50[/tex]
b)[tex]\sqrt{3*3*7} *\sqrt{7*3*3} =\sqrt{3*3*3*3*7*7} =\sqrt{3^4*7^2} =3^2*7=9*7=63[/tex]
c)[tex]\frac{\sqrt{363} }{\sqrt{3} } =\sqrt{\frac{363}{3} } =\sqrt{121} =11[/tex]
d)[tex]\sqrt[3]{3} *\sqrt[3]{9} =\sqrt[3]{3*9} =\sqrt[3]{27} =3[/tex]
e)[tex]\sqrt[3]{11*11*5} *\sqrt[3]{5*5*11} =\sqrt[3]{5*5*5*11*11*11} =\sqrt[3]{5^3*11^3} =5*11=55[/tex]
f)[tex]\frac{\sqrt[3]{54} }{\sqrt[3]{250} } =\sqrt[3]{\frac{54}{250} } =\sqrt[3]{\frac{27}{125} } =\frac{3}{5}[/tex]
Szczegółowe wyjaśnienie:
