To simplify the fraction, we need to rationalize the denominator by multiplying the numerator and denominator by the conjugate.
The conjugate is the same thing as the denominator with a plus sign instead of a minus sign.
(sqrt(2) + start(5))^2/((sqrt(2) - start(5))(sqrt(2) + start(5)))
FOIL the top and bottom.
The answer is -(7+2sqrt(10))/3