Lösung 3.1:8b

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If we write the numbers in power form,
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<center> [[Image:3_1_8b.gif]] </center>
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<math>\sqrt{7}=7^{{1}/{2}\;}</math>
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and
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<math>7=7^{1}</math>
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it becomes clear that
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<math>7</math> is larger than
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<math>\sqrt{7}</math>, because both numbers have the same base,
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<math>7</math>, which is larger than
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<math>1</math>
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and the exponent
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<math>1</math> is greater than
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<math>{1}/{2}\;</math>.

Version vom 11:11, 23. Sep. 2008

If we write the numbers in power form,


\displaystyle \sqrt{7}=7^{{1}/{2}\;} and \displaystyle 7=7^{1}


it becomes clear that \displaystyle 7 is larger than \displaystyle \sqrt{7}, because both numbers have the same base, \displaystyle 7, which is larger than \displaystyle 1 and the exponent \displaystyle 1 is greater than \displaystyle {1}/{2}\;.

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