Step 1: Preheat broiler.
Step 2: Place sweet potato, potato, onion, garlic, carrot on a parchment-lined baking tray.
Step 3: Drizzle with 2 tablespoons of olive oil and give it a quick toss, making sure to spread out the mixture across the sheet.
Step 4: Make sure garlic is cut side up liberally oiled
Step 5: Broil 5 minutes, toss and broil for a further 5 minutes.
Step 6: Remove from oven and when garlic is cool, squeeze the garlic out.
Step 7: Discard the skin.
Step 8: Heat the remaining oil in a large pot over medium heat.
Step 9: When oil is hot toss in the corn, sweet potato, potato, onion, garlic, turmeric, poblano and ancho powder and stir.
Step 10: Allow the flavors to mix for 2 minutes, stirring frequently, and then add in the stock and cup of water.
Step 11: Bring the mixture to a boil then reduce and simmer for 30 minutes.
Step 12: Season the soup to taste and remove it from the heat.
Step 13: Add in the cream and lime juice and whisk to incorporate.
Step 14: Ladle into bowls and top with the green onions and cilantro leaves.
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