What 2 square numbers subtract to make 5631?

What two square numbers subtract to make 5631? In other words, when you subtract one square number from another square number, the answer is 5631. 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 = 5631

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

940² - 937² = 5631

940² is 883600 and 937² is 877969, therefore the answer to the question "What 2 square numbers subtract to make 5631?" is 883600 and 877969 as illustrated below:

883600 - 877969 = 5631

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 5631. Below we list alternate solutions if available.

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