What 2 square numbers subtract to make 584?

What two square numbers subtract to make 584? In other words, when you subtract one square number from another square number, the answer is 584. 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 = 584

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

75² - 71² = 584

75² is 5625 and 71² is 5041, therefore the answer to the question "What 2 square numbers subtract to make 584?" is 5625 and 5041 as illustrated below:

5625 - 5041 = 584

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 584. Below we list alternate solutions if available.

21609 - 21025 = 584

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