Question

BRAINLY ALERT
$\frac{5}{ \sqrt{5} - \sqrt{3} } \: \: \: simplify$

Answer 1

Check the answer in the above picture

Answer 2

$Given:\frac{5}{\sqrt{5} -\sqrt{3}}$

On rationalizing the denominator, we get

$=>\frac{5}{\sqrt{5} -\sqrt{3}} * \frac{\sqrt{5} +\sqrt{3}} {\sqrt{5} +\sqrt{3}}$

$=>\frac{5(\sqrt{5} +\sqrt{3})}{(\sqrt{5})^2 - \sqrt{3})^2}$

$=>\frac{5(\sqrt{5} +\sqrt{3})}{5 - 3}$

$=>\frac{5(\sqrt{5} +\sqrt{3})}{2}$

Hope it helps!