Question

!!!!PLEASE HELP!!!!

Answer 1

(D)

Step-by-step explanation:

Multiply and divide the fraction by the conjugate:

$\dfrac{2}{\sqrt{13}+\sqrt{11}}×\dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$

$= \dfrac{2(\sqrt{13} - \sqrt{11})}{(\sqrt{13})^2 - (\sqrt{11})^2}$

$=\dfrac{2(\sqrt{13} - \sqrt{11})}{2}$

$=\sqrt{13} - \sqrt{11}$