What 2 square numbers subtract to make 8584?

What two square numbers subtract to make 8584? In other words, when you subtract one square number from another square number, the answer is 8584. 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 = 8584

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

95² - 21² = 8584

95² is 9025 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 8584?" is 9025 and 441 as illustrated below:

9025 - 441 = 8584

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 8584. Below we list alternate solutions if available.

10609 - 2025 = 8584

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