01 - Combine cream cheese, cheddar, Monterey Jack, diced jalapeños, green onions, garlic powder, paprika, salt, and pepper in a medium bowl. Mix until thoroughly blended and smooth.
02 - Position an egg roll wrapper with one corner facing you. Place approximately 1 tablespoon of filling in the lower third. Fold bottom corner over filling, tuck in sides, and roll tightly. Seal with beaten egg.
03 - Pour vegetable oil to a depth of 2 inches in a deep skillet or Dutch oven. Heat to 350°F.
04 - Fry egg rolls in small batches, turning occasionally, until golden brown and crispy, approximately 2 to 3 minutes per batch. Avoid overcrowding the pan to maintain proper oil temperature.
05 - Transfer cooked egg rolls to paper towels using a slotted spoon to drain excess oil. Serve immediately with ranch or preferred dipping sauce.