Question

Rationalise the denominator


$\frac{5}{ 7 + \sqrt{5}}$

Answer 1

Hola Mate!!

Your answer :-

$= > \frac{5}{7 + \sqrt{5} } \\ \\ = > \frac{5}{7 + \sqrt{5} } \times \frac{7 - \sqrt{5} }{7 - \sqrt{5} } \\ \\ = > \frac{5(7 - \sqrt{5} )}{ {( 7)}^{2} - {( \sqrt{5}) }^{2} } \\ \\ = > \frac{35 - 5 \sqrt{5} }{49 - 5} \\ \\ = > \frac{35 - 5\sqrt{5} }{44}$

☆ Hope it helps ☆

Answer 2

hey!!!

your answer is here..

given :- 5/7+√5

$= \frac{5}{7 + \sqrt{5} } \times \frac{7 - \sqrt{5} }{7 - \sqrt{5} } \\ \\ = \frac{5(7 - \sqrt{5}) }{(7 + \sqrt{5})(7 - \sqrt{5} ) } \\ \\ = \frac{5(7 - \sqrt{5} ) }{ {(7)}^{2} - {( \sqrt{5} )}^{2} } \\ \\ = \frac{5(7 - \sqrt{5}) }{49 - 5} \\ \\ = \frac{5(7 - \sqrt{5}) }{44} \\ \\ = \frac{35 - 5 \sqrt{5} }{44}$

cheers!!!