What 2 square numbers subtract to make 2892?

What two square numbers subtract to make 2892? In other words, when you subtract one square number from another square number, the answer is 2892. 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 = 2892

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

244² - 238² = 2892

244² is 59536 and 238² is 56644, therefore the answer to the question "What 2 square numbers subtract to make 2892?" is 59536 and 56644 as illustrated below:

59536 - 56644 = 2892

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 2892. Below we list alternate solutions if available.

524176 - 521284 = 2892

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