Can I connect two monitors to my computer using an HDMI splitter because my computer only has one HDMI output that works which is coming from the Graphics Card. Both monitors are the excact same and I wanted to go extended mode with them.
HDMI splitters just duplicate the screen (so you'll get two screens showing the exact same thing). If you want to extend your desktop (ie, have both monitors either show up individually on your computer, or have your computer output to a double width screen which the HDMI splitter then splits and displays on half of each additional screen) you'll be facing a lot more problems.
Better off just getting a dual output graphics card, or getting something that supports display port 1.2 (which lets you just chain monitors that also support 1.2 display port daisy chaining all from a single display port outout).
Ref: I'm currently working on a computer with four monitors, all showing up as individual monitors, connected to a single displayport output from my graphics card.
It's not possible to send both audio and video to each individual monitor that you have unless as stated by the first response you would need a graphic card with two HDMI outputs.
Just have one designated for HDMI and DVI for the second monitor. And run the audio from your external speakers or from the laptop or something. Remember, the HDMI and DVI are the same just an exception of one that doesn't have the audio which is DVI.