Solution 3.1:8b

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If we write the numbers in power form,
If we write the numbers in power form,
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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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<math>\sqrt{7}=7^{{1}/{2}\;}</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.
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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>.
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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.

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