Hi Mithan,
We drop another image over the screen shot sometimes. The screen is refreshing faster than your shutter speed can capture the back lighting. Does the screen have to say something special then I would make a separate file that supports your needs and strip it in in post with the transform tool.
The other option is their may be enough light off the screen to freeze it but you are dragging the shutter longer for the rest of the shot, the laptops environment. In this case just do two shots and combine. One for the shutter speed to keep your screen clean the second for the environment, then just strip the screen in in post.
One last approach is to set the ISO higher for the screen shot giving you a faster shutter speed and also opening up till the screen is still sharp but the rest of your environment isn't. Shoot that as a single capture then ret you aperture for the rest of the shot and set your shutter speed for that. Again stripping in the final screen in post
Good Luck,
Jonathan