Solution 3.1:2d

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It is often most appropriate to get rid of the root sign and write everything in power form, and then use the power rules:
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It is often most appropriate to get rid of the root sign and write everything in power form, and then use the power rules,
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{{Displayed math||<math>\sqrt{5}\cdot\sqrt[3]{5}\cdot 5 = 5^{1/2}\cdot 5^{1/3}\cdot 5^{1} = 5^{1/2+1/3+1} = 5^{11/6}\,\textrm{.}</math>}}
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<math>\sqrt{5\centerdot \sqrt[3]{5}}\centerdot 5=5^{{1}/{2}\;}\centerdot 5^{{1}/{3}\;}\centerdot 5^{1}=5^{{1}/{2}\;+{1}/{3}\;+1}=5^{{11}/{6}\;}</math>
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Current revision

It is often most appropriate to get rid of the root sign and write everything in power form, and then use the power rules,

\displaystyle \sqrt{5}\cdot\sqrt[3]{5}\cdot 5 = 5^{1/2}\cdot 5^{1/3}\cdot 5^{1} = 5^{1/2+1/3+1} = 5^{11/6}\,\textrm{.}
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