The reaction e(+)e(-) --> e(+)e(-)gamma*gamma* --> e(+)e(-)K(S)(0)K(S)(0) is studied with the L3 detector at LEP and the formation of the f(2)'(1525) resonance is observed, For an integrated luminosity of 114 pb(-1), 31+/-6 f(2)' events are found, Their angular distribution is consistent with a pure helicity two, The radiative width times the branching ratio is measured to be Gamma(gamma gamma)(f(2)')xBr(f(2)'--> K (K) over bar)=(0.093+/-0.018+/-0.022) keV. Only three events are found in the f(2)(1270)-a(2)(1320) mass region, consistent with destructive f(2)-a(2) interference in the (KSKS0)-K-0 final state. The mixing angle of the tensor meson nonet is determined to be theta=(29.4(-1.6)(+1.4))(0).