Preheat oven 400℉. Scrub potatoes and prick with a fork. Bake on baking sheet for 1 hour.
Put chopped carrots into medium size pot with water to cover. Bring to boil, reduce heat to simmer and cook until soft about 5 minutes. Add broccoli florets and cook for another 2 minutes.
Rinse and drain cashews, then place in a high-speed blender.
Add water and drained carrots with remaining ingredients, except the broccoli florets. Process until creamy.
Pour sauce into pot with broccoli, then return to cook until sauce is thick and creamy.
To assemble, cut potatoes lengthwise, and spoon sauce over potatoes. Garnish with paprika, delicious served with a salad!