Brian Monetti, I <3 math!
(4-sqrt(5))/(4-sqrt(7)) can not be simplified into another fraction, so this is as precise of an answer as can be obtained. If you estimate for (sqrt(5)) and (sqrt(7)), you can use these approximations in both the numerator and denominator to find an approximate solution. The approximate solution will be close to 1.3025, but the real solution is an irrational number, so this is only an approximation. Hope this helps!