What 2 square numbers subtract to make 2211?

What two square numbers subtract to make 2211? In other words, when you subtract one square number from another square number, the answer is 2211. 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 = 2211

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

50² - 17² = 2211

50² is 2500 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 2211?" is 2500 and 289 as illustrated below:

2500 - 289 = 2211

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 2211. Below we list alternate solutions if available.

11236 - 9025 = 2211
136900 - 134689 = 2211

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