What pair of square numbers gives a total of 2000?

Well, honey, let me break it down for you. The square root of 2000 is around 44.72, so the closest pair of square numbers that add up to 2000 are 44^2 and 45^2. In other Words, 1936 + 2025 = 3961, not 2000. So, there ain't no pair of square numbers that add up to 2000.