Question

Rationalize the denominator of

Answer 1

answer in attachment

Answer 2

$\large\bold{ \underline{ \underline{ \: \: \: Answer \: \: \: }}}$

$\large \to \bold{ \frac{ \sqrt{7} + \sqrt{5} }{2} }$

$\large\bold{ \underline{ \underline{ \: \: \: Explanation \: \: \: }}}$

$\to \bold{\frac{1}{ \sqrt{7} - \sqrt{5} }} \\ \\ \to \bold{ \frac{1}{ \sqrt{7} - \sqrt{5} } \times \frac{ \sqrt{7} + \sqrt{5} }{ \sqrt{7} + \sqrt{5} } } \\ \\ \to \bold{ \frac{ \sqrt{7} + \sqrt{5} }{( { (\sqrt{7}) }^{2} - { (\sqrt{5}) }^{2} )} } \\ \\ \to \bold { \frac{ \sqrt{7} + \sqrt{5} }{7 - 5} } \\ \\ \to \bold{ \frac{ \sqrt{7} + \sqrt{5} }{2} }$