When the area of a square is increased by four times, how many times is its side length? How many times is its area increased by nine times? How many times?

When the area of a square is increased by four times, how many times is its side length? How many times is its area increased by nine times? How many times?

The area of a square is increased by four times, and its side length is increased by two times,
The area is 9 times of the original, and its side length is 2 times of the original,
The area is n times of the original, and its side length is n times of the original root,