What 2 square numbers subtract to make 7944?

What two square numbers subtract to make 7944? In other words, when you subtract one square number from another square number, the answer is 7944. 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 = 7944

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

337² - 325² = 7944

337² is 113569 and 325² is 105625, therefore the answer to the question "What 2 square numbers subtract to make 7944?" is 113569 and 105625 as illustrated below:

113569 - 105625 = 7944

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 7944. Below we list alternate solutions if available.

442225 - 434281 = 7944
990025 - 982081 = 7944

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