Solution 3.1:8a

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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[3]{5}=5^{1/3}\quad</math> and <math>\quad\sqrt[3]{6}=6^{1/3}</math>}}
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<math>\sqrt[3]{5}=5^{{1}/{3}\;}</math>
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we see that <math>\sqrt[3]{6}</math> is larger since 6 is larger than 5 and both numbers have the same positive exponent, 1/3.
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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>.
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Current revision

If we write the numbers in power form

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

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

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