Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper for easy cleanup.
Dice the sweet potato and slice the carrots into uniform 1/2-inch pieces to ensure they roast evenly.
Place the chicken breast, cubed sweet potatoes, and carrots onto the prepared sheet pan.
Drizzle the olive oil over the chicken and vegetables, then sprinkle with sea salt, black pepper, dried rosemary, and garlic powder.
Toss everything together with your hands or tongs until every piece is well-coated in the oil and seasonings.
Arrange the ingredients in a single layer, ensuring the chicken has space around it to crisp up properly.
Roast for 25 to 30 minutes, flipping the vegetables halfway through, until the chicken reaches an internal temperature of 165°F and the vegetables are tender.
Remove from the oven and let the chicken rest for 5 minutes before slicing to keep it juicy, then serve alongside the roasted roots.