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 1/2-inch cubes and slice the carrots into rounds to ensure they cook evenly with the chicken.
In a small bowl, whisk together the olive oil, minced garlic, chopped rosemary, chopped thyme, sea salt, and black pepper.
Place the chicken breast, sweet potato cubes, and carrot slices on the prepared baking sheet.
Drizzle the garlic-herb oil over the chicken and vegetables, tossing well to ensure every piece is thoroughly coated.
Spread the ingredients out in a single layer, making sure the chicken has enough space to roast properly without steaming.
Bake for 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are golden and tender.
Let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted root vegetables.