Solution 3.1:8b

From Förberedande kurs i matematik 1

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Current revision (14:27, 30 September 2008) (edit) (undo)
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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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{{Displayed math||<math>\sqrt{7}=7^{1/2}\quad</math> and <math>\quad 7=7^1\,,</math>}}
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it becomes clear that 7 is larger than <math>\sqrt{7}</math>, because both numbers have the same base, 7, which is larger than 1 and the exponent 1 is greater than 1/2.

Current revision

If we write the numbers in power form,

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

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