We present the first statistically meaningful results from two-K-s(0) interferometry in heavy-ion collisions at root s(NN)=200 GeV. A model that takes the effect of the strong interaction into account has been used to fit the measured correlation function. The effects of single and coupled channels were explored. At the mean transverse mass < m(T)>=1.07 GeV, we obtain the values R=4.09 +/- 0.46(stat)+/- 0.31(sys) fm and lambda=0.92 +/- 0.23(stat)+/- 0.13(sys), where R and lambda are the invariant radius and chaoticity parameters, respectively. The results are qualitatively consistent with m(T)...