!!!!PLEASE HELP!!!!

Mathematics

1 answer:

Lynna [10]3 years ago

3 0

(D)

Step-by-step explanation:

Multiply and divide the fraction by the conjugate:

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

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

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

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

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