Error Propagation dividing

1. The problem statement, all variables and given/known data



So I am calculating the error for something and I am getting really weird values.

So I know that the value for the Inductor is 24.97 +- 0.005 and that for the capacitor is 105.7+-0.0005 nf.



So I am finding the value for the resonant frequency



2. Relevant equations



f_0 = 1/(2*pi*sqrt(LC))





3. The attempt at a solution



So for the f_0 I get 3097 Hz which is very close to my experimental observations. But for the error I get:



error in LC = (1.03e-8) * sqrt((0.005/24.97)^2+(0.0005/105.7)^2) = 5.29e-13



error in LC^-.5: (19464.95)*0.5*1.03e-8/5.29e-13 = 37994



final error: 37994 * 1/(2*pi) = 6039.



Now this final value is too high, what am I doing wrong? Thanks