Simple Harmonic Motion

A body performs S.H.M. under the action of force '\(\mathrm{F}_1\)' with period '\(\mathrm{T}_1\)' second. If the force is changed to '\(\mathrm{F}_2\)' it performs S.H.M. with period '\(\mathrm{T_2}\)' second. If both forces '\(\mathrm{F_1}\)' and '\(\mathrm{F_2}\)' act simultaneously in the same direction on the body, the period in second will be