What 2 square numbers subtract to make 581?

What two square numbers subtract to make 581? In other words, when you subtract one square number from another square number, the answer is 581. 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 = 581

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

45² - 38² = 581

45² is 2025 and 38² is 1444, therefore the answer to the question "What 2 square numbers subtract to make 581?" is 2025 and 1444 as illustrated below:

2025 - 1444 = 581

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 581. Below we list alternate solutions if available.

84681 - 84100 = 581

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