Odpowiedź:
a)[tex]7\sqrt{2} *3\sqrt{3} =21\sqrt{2*3} =21\sqrt{6}[/tex]
b)[tex]\frac{3\sqrt{5} *\sqrt{6} }{2\sqrt{2} } =\frac{3\sqrt{5} *\sqrt{2} *\sqrt{3} }{2\sqrt{2} } =\frac{3\sqrt{5}*\sqrt{3} }{2} =\frac{3\sqrt{15} }{2}[/tex]
c)[tex]3\sqrt[3]{3} *4\sqrt[3]{7} =12\sqrt[3]{21}[/tex]
d)[tex]\sqrt[3]{\frac{1}{3} } *2\sqrt[3]{6} =2\sqrt[3]{\frac{1}{3}*6 } =2\sqrt[3]{2}[/tex]
e)[tex]\frac{4\sqrt[3]{-6} }{2\sqrt[3]{-2} } =2\sqrt[3]{\frac{-6}{-2} } =2\sqrt[3]{2}[/tex]
f)[tex]1-\frac{3\sqrt{5} }{\sqrt{125} } =1-3*\sqrt{\frac{5}{125} } =1-3*\sqrt{\frac{1}{25} } 1-\frac{3}{5} =\frac{2}{5}[/tex]
g)[tex]\sqrt{3,5} :2\sqrt{\frac{7}{8} } =\frac{\sqrt{3,5} }{2\sqrt{\frac{7}{8} } } =\frac{\sqrt{3\frac{1}{2} } }{2\sqrt{\frac{7}{6} } } =\frac{\sqrt{\frac{7}{2}*\frac{8}{7} } }{2}=\frac{\sqrt{4} }{2} =\frac{2}{2} =1[/tex]
h) [tex]\frac{\sqrt{0,8 } :\sqrt{0,008} }{(-0,1)^2} =\frac{\sqrt{\frac{8}{10}*\frac{1000}{8} } }{0,01} =\frac{\sqrt{100} }{0,01} =10*\frac{100}{1} =1000[/tex]
Szczegółowe wyjaśnienie:
