Answer: \(\frac{13+5\sqrt5}{4}\).

Multiply the numerator and denominator by the conjugate of the denominator:

The denominator is

\(7^2-(3\sqrt5)^2=49-45=4.\)

The numerator is

\((4-\sqrt5)(7+3\sqrt5) =28+12\sqrt5-7\sqrt5-15.\)

So the numerator simplifies to

\(13+5\sqrt5.\)

Therefore