Answer
$\frac{77+11\sqrt 3}{46}$
Work Step by Step
Multiply the numerator and denominator by the conjugate in order to rationalize the denominator. Then simplify the denominator.
$\frac{11}{7-\sqrt 3} \times \frac{7+\sqrt 3}{7+\sqrt 3}$
$\frac{77+11\sqrt 3}{49- \sqrt 9}$
$\frac{77+11\sqrt 3}{49 - 3}$
$\frac{77+11\sqrt 3}{46}$
