What 2 square numbers subtract to make 2200?

What two square numbers subtract to make 2200? In other words, when you subtract one square number from another square number, the answer is 2200. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 2200

We solved the equation above and found this to be true:

47² - 3² = 2200

47² is 2209 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 2200?" is 2209 and 9 as illustrated below:

2209 - 9 = 2200

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 2200. Below we list alternate solutions if available.

3721 - 1521 = 2200
4225 - 2025 = 2200
13225 - 11025 = 2200

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