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Step 1
1 hour before you plan to being roasting the prime rib, remove the roast from the refrigerator and pat down with paper toweling. If you'd like, remove all but 1/4" of the fat cap. Carefully score the fat, making cuts in a criss-cross pattern over the top of the meat.
Step 2
Preheat oven to 450º. As the oven heats, mix the garlic, herbs, salt, pepper, and olive oil to form a paste. Rub the roast with the paste, being sure to rub paste into the score lines in the fat cap. Place the roast on a rack set into a small roasting pan.
Step 3
Add the beef broth and water to the bottom of the roasting pan.
Step 4
If you have a digital meat thermometer, place the probe into the center of the roast. Place the roasting pan in the oven and connect the cord of the probe to your digital thermometer. Carefully shut the oven door on the cord.
Step 5
Roast for 15 minutes, then reduce the temperature to 325º. Continue roasting until the temperature on the digital thermometer reads 10ºF below your final desired temperature.
Step 6
Remove to a cutting board and tent with foil for at least 30 minutes.
Step 7
Degrease the pan drippings and add to a saucepan over medium heat.
Step 8
Reduce for 5 minutes, or until the au jus takes on an intensely beefy flavor (add additional water or beef broth as necessary).
Step 9
Slice the roast and serve with the au jus on the side (reserve extra meat for prime rib sandwiches!). Enjoy!