\sqrt{2}> \sqrt[5]{5}" alt="\sqrt{2}= \sqrt[30]{2^{15}}= \sqrt[30]{32768} \\\ \sqrt[3]{3}= \sqrt[30]{3^{10}} = \sqrt[30]{59049} \\\ \sqrt[5]{5}= \sqrt[30]{5^6} = \sqrt[30]{15625} \\\ \sqrt[3]{3}>\sqrt{2}> \sqrt[5]{5}" align="absmiddle" class="latex-formula">
\sqrt{2}>\sqrt[5]{5}" alt=" \sqrt{2}= \sqrt[3]{2^3}= \sqrt[6]{8} \\\ \sqrt[3]{3}= \sqrt[6]{3^2} = \sqrt[6]{9} \\\ \sqrt[6]{6} \\\ \sqrt[3]{3}>\sqrt{2}>\sqrt[5]{5}" align="absmiddle" class="latex-formula">