Question

TRANSFORME EM UMA ÚNICA RAIZ:

Answer 1

$a) \ \frac{\sqrt{12} \cdot \sqrt{15}}{\sqrt{8}} = \sqrt{\frac{12\cdot15}{8}}= \sqrt{\frac{180^{:4}}{8_{:4}}}=\sqrt{\frac{45}{2}}}\\ \\b) \ \frac{\sqrt[3]{9} \cdot \sqrt[3]{10}}{\sqrt[3]{12} \cdot \sqrt[3]{15}} = \frac{\sqrt[3]{9 \cdot10}}{\sqrt[3]{12\cdot15}} =\frac{\sqrt[3]{90}}{\sqrt[3]{180}} = \sqrt[3]{ \frac{90^{:90}}{180_{:90}}} = \sqrt[3]{ \frac{1}{2}}$

$\\c) \ \frac{\sqrt[6]{4} \cdot \sqrt[3]{ \sqrt{10}}}{ \sqrt[6]{120}} = \frac{\sqrt[6]{4} \cdot \sqrt[6]{10}}{ \sqrt[6]{120}} = \sqrt[6]{ \frac{4\cdot10}{120}} = \sqrt[6]{ \frac{40^{:40}}{120_{:40}} } =\sqrt[6]{ \frac{1}{3}}$