Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
Wash and peel the sweet potato and carrots, then dice the sweet potato into 1/2-inch cubes and slice the carrots into 1/4-inch rounds.
In a small bowl, whisk together the extra virgin olive oil, minced garlic cloves, dried rosemary, dried thyme, sea salt, and black pepper.
Place the chicken breast in the center of the baking sheet and arrange the sweet potatoes and carrots in a single layer around the meat.
Drizzle the garlic-herb oil mixture over the chicken and vegetables, using your hands or a brush to ensure every piece is thoroughly coated.
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 fork-tender.
Remove from the oven and let the chicken rest for 5 minutes to lock in the juices before slicing it into strips and serving alongside the roasted roots.