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When the black holes get close to each other, they fuse into one, bigger black hole. The new black hole’s radius will be roughly the sum of the two original black hole’s radii, making the new black hole encompass a much bigger volume. The fusion is somewhat like what two water droplets would do in space when they get close.
Also importantly, the black holes emit copious amounts of gravitational waves as they close in on each other. This can turn a few percent of their mass into pure energy radiated away as gravitational waves.
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When two black holes collide, they make one bigger black hole. However, the mass of the bigger black hole is NOT the sum of the masses of the two smaller ones. It's a little bit less, because some of their mass is converted to energy and radiated away in gravitational waves.
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