What 2 square numbers subtract to make 4584?

What two square numbers subtract to make 4584? In other words, when you subtract one square number from another square number, the answer is 4584. 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 = 4584

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

197² - 185² = 4584

197² is 38809 and 185² is 34225, therefore the answer to the question "What 2 square numbers subtract to make 4584?" is 38809 and 34225 as illustrated below:

38809 - 34225 = 4584

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 4584. Below we list alternate solutions if available.

148225 - 143641 = 4584
330625 - 326041 = 4584

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