Question
Compare the following : $\quad \frac{\sqrt{5}}{3}, \frac{3}{\sqrt{7}}$
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Answer
$\begin{array}{ll}\quad & \frac{\sqrt{5}}{3}, \frac{3}{\sqrt{7}} \\ & \sqrt{5} \times \sqrt{7}=\sqrt{35} \\ & 3 \times 3=9=\sqrt{9^2}=\sqrt{81} \\ & \text { Here, } 35<81 \\ \therefore \quad & \sqrt{35}<\sqrt{81} \\ \therefore \quad & \frac{\sqrt{5}}{3}<\frac{3}{\sqrt{7}}\end{array}$
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