Odpowiedź:
zad11
a)[tex]\sqrt{13} *\sqrt{3} =\sqrt{13*3} =\sqrt{39}[/tex]
b)[tex]\sqrt{5} *\sqrt{11} =\sqrt{5*11} =\sqrt{55}[/tex]
c)[tex]\sqrt[3]{5} *\sqrt[3]{5} =\sqrt[3]{3*5} =\sqrt[3]{55}[/tex]
d)[tex]\sqrt[3]{7} *\sqrt[3]{10}=\sqrt[3{7*10} =\sqrt[3]{70}[/tex]
e)[tex]\frac{\sqrt{48} }{\sqrt{4} }=\sqrt{\frac{48}{4} } =\sqrt{12}[/tex]
f)[tex]\frac{\sqrt{75} }{\sqrt{35} } =\sqrt{\frac{75}{35} } =\sqrt{\frac{15}{7} =\sqrt{2\frac{1}{7} }[/tex]
g)[tex]\frac{\sqrt[3]{33} }{\sqrt[3]{3} } =\sqrt[3]{\frac{33}{3} } =\sqrt[3]{11}[/tex]
h)[tex]\frac{\sqrt[3]{25} }{\sqrt[3]{45} } =\sqrt[3]{\frac{25}{45} }=\sqrt[3]{\frac{5}{9} }[/tex]
zad12
a)[tex]\sqrt{54} =\sqrt{9*6} =3\sqrt{6}[/tex]
b)[tex]\sqrt{72} =\sqrt{36*2} =6\sqrt{2}[/tex]
c)[tex]\sqrt{242} =\sqrt{121*2} =11\sqrt{2}[/tex]
d)[tex]\sqrt{176} =\sqrt{16*11} =4\sqrt{11}[/tex]
e)[tex]\sqrt[3]{250} =\sqrt[3]{125*2} =5\sqrt[3]{2}[/tex]
f)[tex]\sqrt[3]{192} =\sqrt[3]{64*3} =4\sqrt[3]{3}[/tex]
zad13
a)[tex]2\sqrt{11} =\sqrt{2^2*11} =\sqrt{44}[/tex]
b)[tex]\frac{2}{3}\sqrt{6} =\sqrt{(\frac{2}{3})^2*6 } =\sqrt{\frac{4}{9}*6 } =\sqrt{\frac{8}{3} } =\sqrt{2\frac{2}{3} }[/tex]
c)[tex]\frac{4}{5\sqrt{10} } =\sqrt{(\frac{4}{5})^2*10 } =\sqrt{\frac{16}{25} *10} =\sqrt{\frac{32}{5} } =\sqrt{6\frac{2}{5} }[/tex]
d)[tex]\frac{3}{7} \sqrt{\frac{7}{3} } =\sqrt{(\frac{3}{7})^2*\frac{7}{3} } =\sqrt{\frac{9}{49}*\frac{7}{3} } =\sqrt{\frac{3}{7} }[/tex]
e)[tex]4\sqrt[3]{5} =\sqrt[3]{4^3*5} =\sqrt[3]{64*5}=\sqrt[3]{320}[/tex]
f)[tex]\frac{1}{3} \sqrt[3]{6} =\sqrt[3]{(\frac{1}{3})^3*6 } =\sqrt[3]{\frac{1}{27}*6 } =\sqrt[3]{\frac{2}{9} }[/tex]
Szczegółowe wyjaśnienie:
