The progeny would be very similar but not exactly identical due to stochastic differences in cell division and differentiation, but, like identical human twins, the cloned carrots would be very similar.
Work Step by Step
The key here is to see that some small differences would arise--think of identical twins you have known. Were they absolutely identical? No. But very, very similar, especially in appearance. Differences in environment and circumstances can lead to small differences in "identical" progeny.