Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Peel the sweet potato and carrots, then cube the potato into 1-inch pieces and slice the carrots into 1/2-inch thick rounds.
In a small bowl, whisk together the olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper to create the herb rub.
Place the chicken breast and the prepared vegetables on the baking sheet, then drizzle the herb rub over everything.
Toss the ingredients thoroughly with your hands or tongs to ensure the chicken and vegetables are evenly coated in the oil and spices.
Spread the vegetables out in a single layer around the chicken breast to ensure they roast evenly and get those nice caramelized edges.
Roast in the oven for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the root vegetables are fork-tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it moist and juicy.