Question
Compare The Folowing (=,<,>): $\frac{\sqrt{13}}{\sqrt{8}}, \frac{\sqrt{7}}{\sqrt{5}}$

Answer

$\frac{\sqrt{13}}{\sqrt{8}}, \frac{\sqrt{7}}{\sqrt{5}}$
$\sqrt{13} \times \sqrt{5} \quad ? \quad \sqrt{8} \times \sqrt{7}$
$\sqrt{65} \quad ?\quad \sqrt{56}$
$\sqrt{65}>\sqrt{56}$
$\therefore \quad \frac{\sqrt{13}}{\sqrt{8}}>\frac{\sqrt{7}}{\sqrt{5}}$

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