Question

Compare the following pairs of ratios root 5/3
3/root 7

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Answer 1

Answer:

$here \: we \: make \: comparison \: between \\ \frac{ \sqrt{5} }{3} and \frac{3}{ \sqrt{7} } \\ now \\ \sqrt{5} \times \sqrt{7} = \sqrt{35} \\ 3 \times 3 = 9 = \sqrt{ {9}^{2} } = \sqrt{81} \\ here \: 35 < 81 \\ so \sqrt{35} < \sqrt{81} \\ finally \frac{ \sqrt{5} }{3} < \frac{3}{ \sqrt{7} }$

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