Simple Harmonic Motion

A body executes SHM under the action of force '\(\mathrm{F}_1\)' with time period '\(\mathrm{T}_1\)'. If the force is changed to '\(\mathrm{F_2}\)', it executes SHM with period '\(\mathrm{T_2}\)'. If both the forces '\(\mathrm{F_1}\)' and '\(\mathrm{F}_2\)' act simultaneously in the same direction on the body, its time period is