What 2 square numbers subtract to make 7631?

What two square numbers subtract to make 7631? In other words, when you subtract one square number from another square number, the answer is 7631. 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 = 7631

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

300² - 287² = 7631

300² is 90000 and 287² is 82369, therefore the answer to the question "What 2 square numbers subtract to make 7631?" is 90000 and 82369 as illustrated below:

90000 - 82369 = 7631

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 7631. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7632?
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