Preheat your oven to 400°F 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.
Place the chicken breast, sweet potatoes, and carrots on the prepared baking sheet.
Mince the garlic cloves and whisk them in a small bowl with the olive oil, rosemary, thyme, salt, and pepper.
Drizzle the herb oil over the chicken and vegetables, tossing well to ensure every piece is evenly coated.
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 roots.