Answer
$7\sqrt 7+7\sqrt 5$
Work Step by Step
Multiply the numerator and the denominator by the conjugate of the denominator to rationalize the denominator. Then divide to simplify completely.
$\frac{14}{\sqrt 7-\sqrt 5}$
$\frac{14}{\sqrt 7-\sqrt 5}*\frac{\sqrt 7+\sqrt 5}{\sqrt 7+\sqrt 5}$
$\frac{14\sqrt 7+14\sqrt 5}{2}$
$7\sqrt 7+7\sqrt 5$
