Step 1

Arrange one oven rack 6 inches from broiler and another below that, about 12 inches from broiler; heat broiler. On large rimmed baking sheet, toss tomatillos and jalapeño with oil and pinch salt. Broil on top rack until tender and charred in spots, 8 to 10 minutes. Transfer to blender.

Step 2

Meanwhile, place tortillas on second rimmed baking sheet. Top each tortilla with 1/4 cup cheese, leaving slight well in center. Top each with an egg (cheese should prevent egg from spilling off tortilla). Broil on middle rack to desired doneness, 4 to 6 minutes for a runny yolk.

Step 3

Add cilantro, lime juice and 1/4 teaspoon salt to vegetables in blender and puree until smooth. Serve salsa on tacos with bacon and radishes if desired.