What 2 square numbers subtract to make 8372?

What two square numbers subtract to make 8372? In other words, when you subtract one square number from another square number, the answer is 8372. 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 = 8372

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

114² - 68² = 8372

114² is 12996 and 68² is 4624, therefore the answer to the question "What 2 square numbers subtract to make 8372?" is 12996 and 4624 as illustrated below:

12996 - 4624 = 8372

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 8372. Below we list alternate solutions if available.

30276 - 21904 = 8372
93636 - 85264 = 8372

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What 2 square numbers subtract to make 8373?
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