Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
Peel the sweet potato and carrots, then dice them into uniform 1-inch cubes to ensure even cooking.
Mince the garlic cloves and finely chop the fresh rosemary and thyme leaves.
In a large mixing bowl, toss the diced sweet potatoes and carrots with half of the olive oil, half of the minced garlic, and half of the fresh herbs.
Place the chicken breast on the prepared baking sheet and rub with the remaining olive oil, garlic, herbs, sea salt, and black pepper.
Arrange the seasoned root vegetables in a single layer around the chicken breast on the baking sheet.
Roast in the center of the oven for 25 to 30 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and golden brown.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy.
Serve the sliced chicken alongside the caramelized root vegetables, drizzling any remaining pan juices over the top.