What 2 square numbers subtract to make 4072?

What two square numbers subtract to make 4072? In other words, when you subtract one square number from another square number, the answer is 4072. 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 = 4072

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

511² - 507² = 4072

511² is 261121 and 507² is 257049, therefore the answer to the question "What 2 square numbers subtract to make 4072?" is 261121 and 257049 as illustrated below:

261121 - 257049 = 4072

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 4072. Below we list alternate solutions if available.

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