01 - Combine cream cheese, cheddar, Monterey Jack, diced jalapeños, green onions, garlic powder, paprika, salt, and pepper in a medium bowl. Mix until thoroughly combined and smooth.
02 - Position an egg roll wrapper with a corner facing you. Place 1 tablespoon of filling on the lower third. Fold bottom corner over filling, fold in sides, and roll tightly. Seal the final corner with beaten egg. Repeat with remaining wrappers.
03 - Pour 2 inches of vegetable oil into a deep skillet or Dutch oven. Heat to 350°F, maintaining temperature throughout frying.
04 - Fry egg rolls in small batches, turning occasionally, until golden brown and crispy, approximately 2–3 minutes per batch. Avoid overcrowding the pan to ensure even cooking.
05 - Remove egg rolls with a slotted spoon and transfer to paper towels to drain excess oil. Serve warm with ranch dressing or preferred dipping sauce.