Lösung 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,
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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{{Abgesetzte Formel||<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>}}

Version vom 08:36, 22. Okt. 2008

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{.}