What 2 square numbers subtract to make 8244?

What two square numbers subtract to make 8244? In other words, when you subtract one square number from another square number, the answer is 8244. 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 = 8244

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

238² - 220² = 8244

238² is 56644 and 220² is 48400, therefore the answer to the question "What 2 square numbers subtract to make 8244?" is 56644 and 48400 as illustrated below:

56644 - 48400 = 8244

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 8244. Below we list alternate solutions if available.

476100 - 467856 = 8244

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