Solution 3.1:8c

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Current revision (14:29, 30 September 2008) (edit) (undo)
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Since
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Since <math>2\textrm{.}5^{2} = 2\textrm{.}5\cdot 2\textrm{.}5 = 6\textrm{.}25\,</math>, then <math>2\textrm{.}5 = \sqrt{6\textrm{.}25}\,</math>, and then we see that <math>\sqrt{7}</math> is greater than 2.5 since <math>7^{1/2} > 6\textrm{.}25^{1/2}\,</math>.
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<math>2.5^{2}=2.5\centerdot 2.5=6.25</math>, then
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<math>2.5=\sqrt{6.25}</math>, and then we see that
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<math>\sqrt{7}</math>
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is greater than 2.5 since
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<math>7^{{1}/{2}\;}>6.25^{{1}/{2}\;}</math>
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Current revision

Since \displaystyle 2\textrm{.}5^{2} = 2\textrm{.}5\cdot 2\textrm{.}5 = 6\textrm{.}25\,, then \displaystyle 2\textrm{.}5 = \sqrt{6\textrm{.}25}\,, and then we see that \displaystyle \sqrt{7} is greater than 2.5 since \displaystyle 7^{1/2} > 6\textrm{.}25^{1/2}\,.