For the Corned Beef:

1. Place the corned beef in a large pot and cover with water. Add the spice packets and bring the water to a boil, then gently simmer for at least 3 hours or until fork tender.
2. Place the carrots to the water the last 15 - 20 minutes to cook with the corned beef.
3. Allow the corned beef to remain in the water for about 15 minutes before removing.
4. Slice the corned beef across the grain and serve with your favorite condiments.

For the Potatoes:

1. Clean the skin of the potatoes and place in a large pot then cover with water. Make sure the water is salted generously.
2. Cook the potatoes until fork tender.
3. While the potatoes are cooking, in a small pot, heat the milk with the garlic and butter.
4. Once the potatoes are done, drain them and add the milk mixture while they are still hot.
5. Mash the potatoes until desired consistency. Then taste to see if the seasonings are satisfactory for salt and ground black pepper.
6. Serve with an extra pat of butter and fresh ground black pepper.