Question

Rationalise the denominator

$\frac{2}{ \sqrt{13} - \sqrt{11} }$

Answer 1

Hola Mate!!

Your answer :-

$= > \frac{2}{ \sqrt{13} - \sqrt{11} } \\ \\ = > \frac{2}{ \sqrt{13} - \sqrt{11} } \times \frac{ \sqrt{13} + \sqrt{11} }{ \sqrt{13} + \sqrt{11} } \\ \\ = > \frac{2( \sqrt{13} + \sqrt{11} )}{ {( \sqrt{13} )}^{2} - {( \sqrt{11}) }^{2} } \\ \\ = > \frac{2 \sqrt{13} + 2 \sqrt{11} }{13 - 11} \\ \\ = > \frac{2 (\sqrt{13} + \sqrt{11} ) }{2} \\ \\ = > \frac{ \sqrt{13} + \sqrt{11} }{1} \\ \\ = > \sqrt{13} + \sqrt{11}$

☆ Hope it helps ☆