There are a few different varieties of carrots you may come across at the local store. Most varieties are safe for bearded dragons to eat.
Different Colored Carrots
Carrots can come in many different colors. Fortunately, the color does not matter so you can feed orange, purple, yellow, or red carrots without concern.
Baby vs Mature Carrots
Most people may assume "baby" carrots are normal carrots harvested before maturity. This is not always the case. When mature carrots are harvested and packaged a small percentage of them become broken or damaged. Many processing facilities will recycle these damaged carrots b cutting, re-shaping, and polishing them into one or more "baby" carrots.
Fresh carrots are preferred for bearded dragons because you can visually see the entire carrot is intact and can assume the nutritional content has not been impacted from processing. Since baby carrots undergo chlorine washes and significant peeling some of the nutritional content is lost making it difficult to know their actual nutrition. Because of this we only recommend feeding your bearded dragon mature carrots and skipping baby carrots.