Use the rest of your celeriac for your purée. Cut it into smaller pieces, about 2x3 cm each.
Place a vacuum bag in a pitcher (e.g., a hand blender cup). Add the celeriac pieces and then pour in the milk and cream.
If you have a chamber vacuum sealer, you can just vacuum seal it as usual. It has no problem with liquids. If you have a regular vacuum sealer, you "just" need to hang the bag over the edge of the table and manually press out as much air as you can. Instead of starting the vacuum sealer to suck out the air, you simply press "Seal" to close it. Place something heavy (e.g., a plate or a small dish) on top of the bag to prevent it from floating on the surface.
Cook the celeriac pieces for 1.5 hours at 85 degrees Celsius (185 degrees Fahrenheit).
Take the bag out of the water bath and cut a small hole in the corner. Pour almost all the liquid into a bowl; it will be used to achieve the correct consistency in your purée.
Open the bag completely and pour everything into a blender. If you don't have a blender, use a bowl or pot where you can use an immersion blender.
Blend everything well. I typically blend at full speed for 30 seconds.
Now add 1/2-1 dl of the liquid and blend again.
Add butter and a bit more liquid and blend again.
Continue adding liquid until you achieve the desired consistency. Finally, season with salt and pepper to taste.