Question

Rationalize the denominator and write the answer in the simplest form 2/(√7+√5) please tell fast with explanation ​

Answer 1

$\large\bold{\underline{\underline{Solution:-}}}$

$:⟼   \frac{2}{ \sqrt{7} + \sqrt{5} }$

$:⟼   \frac{2}{ \sqrt{7} + \sqrt{5} } \times \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7} - \sqrt{5} }$

$:⟼   \frac{2( \sqrt{7} - \sqrt{5}) }{( { \sqrt{7} })^{2} - ({ \sqrt{5}) }^{2} }$

$:⟼   \frac{2 (\sqrt{7} - \sqrt{5}) }{7 - 5}$

$:⟼   \frac{2( \sqrt{7} - \sqrt{5} ) }{2}$

$:⟼   \sqrt{7} - \sqrt{5}$

$\sf\red{Hope\:it\:helps.}$