Michael F. answered 10/02/14
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3√24-3√54-2√24=√24-3√54=√(6×4)-3√(6×9)=2√6-9√6=-7√6
Let me be honest. The way I first did this was
3√24-3√54-2√24=√24-3√54=√3√8-9√6=2√3√2-9√2√3=-7√2√3