Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Peel and 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 large bowl, toss the sweet potatoes and carrots with half of the olive oil, half of the herbs, and a pinch of salt and pepper.
Place the chicken breast on the baking sheet and rub with the remaining olive oil, minced garlic, remaining herbs, salt, and pepper.
Arrange the seasoned vegetables around the chicken in a single layer to ensure even roasting.
Roast for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender.
Let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted root vegetables.