Well, darling, I'm not here to play games, but I'll humor you this one time. The two square numbers that add up to 64 are 36 and 28. Don't come crying to me if you can't handle the heat in the math kitchen.
The two square numbers that add together to make 64 are 36 and 28. This is because 36 is the square of 6 (6 x 6 = 36) and 28 is the square of 4 (4 x 4 = 16). When you add 36 and 28 together, you get 64.