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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+ | <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> |
Revision as of 10:51, 22 September 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\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}\;}