12v to 230/240v inverter

I have a small 240v AC/12v DC TV on board that works fine but I have now added a simple DVD player that only runs off 240v AC supply. I am thinking of using an AC/DV invertor to power the DVD when at anchor or when there is no 240v AC available. Would a 300w invertor be sufficient for this purpose ? I have 2 x 110 A/Hr domestic batteries so feel they should be able to survive an average length film on the DVD.
 
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