Rocket question

I sowed a row of rocket which we have nearly harvested all of (it did not have a chance to bolt before we ate it all). My question is: will it grow back even though it's harvested right down to the soil, or shall I dig out the roots and sow again?

 

Ours just keeps on growing and growing, I cut some nearly every day and then it just springs up again - bargain!!

 

It will probably grow back, but not make much leaf before it goes to seed. I find it better to let some go to seed, collect the seed and sow that to get decent new plants. It always carries plenty of seed given the chance, and the seed grows easily.