Preheat oven to 400°F (200°C).
On a large rimmed baking sheet, toss the beet wedges and baby carrots with 2 tablespoons of olive oil, salt, and pepper.
Spread the vegetables in a single layer and roast for 35 to 45 minutes until fork-tender and slightly caramelized.
Allow the vegetables to cool for 5 minutes.
Arrange the arugula on a serving platter and drizzle with the remaining 1 tablespoon of olive oil.
Distribute the warm roasted beets and carrots over the arugula.
Place the burrata balls in the center and gently tear the outer skin to expose the creamy interior.
Drizzle the balsamic glaze over the entire salad.
Garnish with toasted pine nuts and torn basil leaves before serving.