What 2 square numbers subtract to make 2231?

What two square numbers subtract to make 2231? In other words, when you subtract one square number from another square number, the answer is 2231. 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 = 2231

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

60² - 37² = 2231

60² is 3600 and 37² is 1369, therefore the answer to the question "What 2 square numbers subtract to make 2231?" is 3600 and 1369 as illustrated below:

3600 - 1369 = 2231

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 2231. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 2232?
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