Question

compare the pair of the
$\frac{ \sqrt{5} }{3}. \frac{3}{ \sqrt{7} }$
​

Answer 1

Step-by-step explanation:

$\\ \bull \: \: \: \tt \frac{ \sqrt{5} } {\cancel{3}} . \frac {\cancel{3}}{ \sqrt{7} }$

$\\ \bull \: \: \: \tt \frac{ \sqrt{5} }{ \sqrt{7} }$

Rationalize the denominator: $\displaystyle\tt\frac{\sqrt{5}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}}$ .

$\\ \bull \: \: \: \tt\frac{\sqrt{5}\sqrt{7}}{7}$

$\\ \bull \: \: \: \tt \frac{ \sqrt{35} }{7}$