Question

Alguém consegue resolver a letra E

Answer 1

$\sqrt[]{3. \sqrt[6]{9} } . \sqrt[3]{6}- \sqrt[3]{16} = (3.9^{ \frac{1}{6} } )^ \frac{1}{2} .6^ \frac{1}{3} -16^ \frac{1}{3} = (3.3^ \frac{2}{6} )^ \frac{1}{2}.2^ \frac{1}{3}.3^ \frac{1}{3}-2^ \frac{4}{3}= (3^ \frac{4}{3})^ \frac{1}{2}.2^ \frac{1}{3}.3^ \frac{1}{3}-2^ \frac{4}{3}= 3^ \frac{2}{3}.2^ \frac{1}{3}.3^ \frac{1}{3}-2^ \frac{4}{3}= 3.2^ \frac{1}{3}-2^ \frac{4}{3}= 2^ \frac{1}{3}(3-2)=2^ \frac{1}{3}= \sqrt[3]{2}$