You can either use the √2 as a factor on the distance from the lens to the paper, or you can simply use the multiplier of the # of square inches. Now I'm no mathematician, but I do know the basic f/stop cipher. If, for example, you have a light at 8' from the subject and move it to 11' from the subject, your exposure would be twice as long, etc. It is great for figuring bellows draw, etc. Same thing with the enlarger. If your pointer on your tape scale on the column or however it works is pointing at 11" and you raise it to 16" you're going to add a stop. I just do this. You are going to have to verify with a test (usually just one) anyway, so why not keep it simple. The less I have to do with a calculator, the better I like it. I use the span of my fingers, on bellows draw, for example. It's 8". 11"? One stop. 16"? two stops.
I'm always amazed at how few photographers, even professionals, know this.