Question

Escrever a expressão
$2 \sqrt{2} \sqrt[3]{2}$
na forma de um único radical​

Answer 1

$2~.~\sqrt{2}~.~\sqrt[3]{2}~=\\\\\\=~2~.~2^{\frac{1}{2}}~.~2^{\frac{1}{3}}\\\\\\=~2^{\,1+\frac{1}{2}+\frac{1}{3}}\\\\\\=~2^{\frac{6\,.\,1\,+\,3\,.\,1\,+\,2\,.\,1}{6}}\\\\\\=~2^{\frac{6+3+2}{6}}\\\\\\=~2^{\frac{11}{6}}\\\\\\=~\boxed{\sqrt[6]{2^{11}}}$

Answer 2

2sqrt(2) * root(3, 2) =; =2*2^ 1 2 ,2^ 1 3; = 2^ 1+ 1 2 + 1 3; =2^ 6.1+3.1+2.1 6; =2^ 6+3+2 6; =2^ 11 6; = lfloor sqrt[6] 2^ 11