Resposta:
Uma das possibilidades é:
a) [tex]\frac{\sqrt{120} }{\sqrt{3} } =\frac{\sqrt{4*3*10} }{\sqrt{3} } =\frac{\sqrt{3} \sqrt{4}\sqrt{10} }{\sqrt{3} } =2\sqrt{10} }[/tex]
b) [tex]\frac{\sqrt[3]{a^{10}} }{\sqrt[3]{a^4} } =\sqrt[3]{\frac{a^{10}}{a^4} } =\sqrt[3]{a^{10-4}} =\sqrt[3]{a^6} =a^\frac{6}{3} =a^2[/tex]
c) [tex]\frac{\sqrt[4]{81x^7} }{\sqrt[4]{x^3} } =\sqrt[4]{\frac{81x^7}{x^3}} =\sqrt[4]{81x^{7-3}}=\sqrt[4]{81x^4}=\sqrt[4]{3^4}{\sqrt[4]{x^4}=3x[/tex]
d) [tex]\frac{\sqrt{5} \sqrt{8} }{\sqrt{10} } =\frac{\sqrt{5} \sqrt{4}\sqrt{2} }{\sqrt{5*2} }= \frac{\sqrt{5} \sqrt{2} *2}{\sqrt{5}\sqrt{2} } =2[/tex]
Bons estudos!
