Yes. Square root of 2. But actually less than that unless both strobes are illuminating the same area. Imagine being 12 ft
away with one strobe, so using f/2.0. With two strobes you have twice the light, so can close down to f/2.8. At 12 feet, that implies a GN of 34.
Agreed, but I would emphasize the "same area" issue. Your most likely outcome is similar amount of light over a wider area.
Why? Because they are mounted at different locations and pointing in different directions at different things. Despite your best efforts to align them their beams will not 100% coincide.
My strobes have target lights and it is very obvious during night dives that the 2 target lights hardly ever intersect (I use the target lights as my night dive light). They are always off - up, down, too close, too far, ... When they do intersect it is in a very small sweet spot. 2 feet closer or 2 feet further away means the light has much less overlap.
If you really want more light on the same subject, you will need to buy a more powerful strobe OR co-locate the 2 strobes together so that they face in the same direction. I made a small arm widget that allows me to mount 2 YS style strobes on the same arm. But I found that dragging 4 strobes around is too heavy and bulky...