Question

Qual o resultado da divisão 6\sqrt{5}: 2\sqrt[6]{5} ?

Answer 1

$\Large\boxed{\begin{array}{l}\sf \sqrt{5}=\sqrt[\sf6]{\sf5^3}\\\sf6\sqrt{5}\div2\sqrt[\sf6]{\sf5}\\\sf=6\sqrt[\sf6]{\sf5^3}\div2\sqrt[\sf6]{\sf5}\\\sf=3\sqrt[\sf6]{\sf5^3\div5}\\\sf=3\sqrt[\sf6\div2]{\sf5^{2\div2}}\\\sf=3\sqrt[\sf3]{\sf5}\end{array}}$