Resposta:
Explicação passo-a-passo:
a) [tex]\frac{1 }{\sqrt{5} } . \frac{\sqrt{5} }{\sqrt{5} } =[/tex] [tex]\frac{1\sqrt{5} }{\sqrt{25} }[/tex] = [tex]\frac{1\sqrt{5} }{5}[/tex]
b) [tex]\frac{3}{\sqrt{3} } . \frac{\sqrt{3} }{\sqrt{3} } = \frac{3\sqrt{3} }{\sqrt{9} } = \frac{3\sqrt{3} }{3} = \sqrt{3}[/tex]
c) [tex]\frac{\sqrt{5} }{\sqrt{2} } . \frac{\sqrt{2} }{\sqrt{2} } = \frac{\sqrt{10} }{\sqrt{4} } = \frac{\sqrt{10} }{2}[/tex]
d) [tex]\frac{10}{3\sqrt{10} } . \frac{\sqrt{10} }{\sqrt{10} } = \frac{10\sqrt{10} }{3\sqrt{100} } = \frac{10\sqrt{10} }{3. 10} = \frac{10\sqrt{10} }{30} = \frac{1\sqrt{10} }{3}[/tex]
e) [tex]\frac{1}{\sqrt[4]{a} } . \frac{\sqrt[4]{a} }{\sqrt[4]{a} } = \frac{1\sqrt[4]{a} }{\sqrt[4]{a^{2} } } = \frac{1\sqrt[4]{a} }{\sqrt{a} }[/tex]
f) [tex]\frac{a}{\sqrt[5]{a^{3}x } } . \frac{\sqrt[5]{a^{3}x} }{\sqrt[5]{a^{3}x } } = \frac{a\sqrt[5]{a^{3}x } }{\sqrt[5]{a^{6} x^{2} } }[/tex]
g) [tex]\frac{1}{\sqrt[5]{4} } . \frac{\sqrt[5]{4} }{\sqrt[5]{4} } = \frac{1\sqrt[5]{4} }{\sqrt[5]{16} }[/tex]
h) [tex]\frac{b}{\sqrt[7]{b^{4} } } . \frac{\sqrt[7]{b^{4} } }{\sqrt[7]{b^{4} } } = \frac{b\sqrt[7]{b^{4} } }{\sqrt[7]{b^{8} } }[/tex]
Espero que esteja certo, bons estudos!!
