What 2 square numbers subtract to make 4552?

What two square numbers subtract to make 4552? In other words, when you subtract one square number from another square number, the answer is 4552. 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 = 4552

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

571² - 567² = 4552

571² is 326041 and 567² is 321489, therefore the answer to the question "What 2 square numbers subtract to make 4552?" is 326041 and 321489 as illustrated below:

326041 - 321489 = 4552

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 4552. Below we list alternate solutions if available.

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