Lösung 3.1:8a

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If we write the numbers in power form
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<center> [[Image:3_1_8a.gif]] </center>
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<math>\sqrt[3]{5}=5^{{1}/{3}\;}</math>
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and
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<math>\sqrt[3]{6}=6^{{1}/{3}\;}</math>
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we see that
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<math>\sqrt[3]{6}</math>
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is larger since
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<math>6</math>
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is larger than
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<math>5</math>
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and both numbers have the same positive exponent,
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<math>{1}/{3}\;</math>.

Version vom 11:08, 23. Sep. 2008

If we write the numbers in power form


\displaystyle \sqrt[3]{5}=5^{{1}/{3}\;} and \displaystyle \sqrt[3]{6}=6^{{1}/{3}\;}


we see that \displaystyle \sqrt[3]{6} is larger since \displaystyle 6 is larger than \displaystyle 5 and both numbers have the same positive exponent, \displaystyle {1}/{3}\;.

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_3.1:8a“