Question

What is the best first step in solving the equation 3 +" title="3\sqrt[6]{x}" alt="3\sqrt[6]{x}" align="absmiddle" class="latex-formula"> = 5?

Answer 1

$3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}$