Should be. The laptop power bricks are pretty rugged. They'll mostly take anything from around 100 - 250 volts from 50 Hz to 400 Hz. and convert it to laptop power. Input doesn't even need to be a reasonably clean sine wave.
Thanks for the answers everyone I have used the inverter before to run a tv dvd player and a lamp so I know its reliable just wasn't sure about using it for a laptop thank you again for the quick replies.