can i connect this home theater system via optical out on my LG 32LE5400?
just wanted to know if i can connect it to my tv
Short answer, no. While you can rig up a cable from the headphone out jack on the TV to two of the satellite speakers, the signal won't be strong enough from the TV to hear the speakers above a whisper.
These speakers need to be powered by an amplifier or receiver to work well.