**Core Concept**
The tibial and common peroneal nerves are two branches of the sciatic nerve, which arises from the lower lumbar and upper sacral roots of the spinal cord. These nerves play crucial roles in innervating the muscles of the lower limb, particularly those responsible for ankle and foot movements.

**Why the Correct Answer is Right**
The tibial nerve primarily supplies the posterior compartment muscles of the leg, including the gastrocnemius, soleus, and plantaris, which are responsible for plantarflexion of the foot. The common peroneal nerve, on the other hand, supplies the anterior compartment muscles of the leg, including the tibialis anterior, peroneus longus, and peroneus brevis, which are responsible for dorsiflexion of the foot. This dichotomy in innervation allows for precise control over ankle movements.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect as it does not accurately reflect the innervation of the lower limb nerves.
**Option B:** This option is incorrect as the sural nerve is a branch of the tibial nerve, but it does not innervate the muscles of the lower limb.
**Option C:** This option is incorrect as it incorrectly assigns the common peroneal nerve to the posterior compartment of the leg.

**Clinical Pearl / High-Yield Fact**
The tibial and common peroneal nerves are often affected in conditions such as sciatic nerve entrapment or peripheral neuropathy, leading to weakness or paralysis of the lower limb muscles.

**Correct Answer: D. Tibial nerve supplies the posterior compartment, while the common peroneal nerve supplies the anterior compartment muscles.**