Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
Dice the sweet potato into 1-inch cubes and slice the carrots into 1/2-inch thick rounds.
Mince the garlic cloves and finely chop the fresh rosemary and thyme leaves.
In a mixing bowl, toss the sweet potatoes and carrots with half of the olive oil, half of the minced garlic, and half of the fresh herbs.
Rub the chicken breast evenly with the remaining olive oil, garlic, herbs, sea salt, and black pepper.
Spread the vegetables in a single layer on one side of the baking sheet and place the chicken breast on the other side.
Roast in the center of the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and golden.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy.
Plate the sliced chicken alongside the roasted root vegetables and serve immediately.