Final answer:
Gophers are the rodents known for damaging gardens by burrowing, which affects plant roots and soil aeration.
Step-by-step explanation:
The rodent that is known for tunneling and causing damage to gardens, particularly by liking root crops, is C) Gopher. Gophers are notorious for their burrowing habits, which can ruin lawns and gardens. Their tunnels may disrupt the growth of plants by interfering with their root systems, leading to reduced aeration in the soil, similar to the impact prairie dogs have on vegetation. They are different from creatures such as the short-tailed field mouse, jerboa, water vole, marmot, lemming, and bank vole, which are also burrowing rodents but have varying impacts on the environment.