Solution 3.1:2d

From Förberedande kurs i matematik 1

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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>}}

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{.}