What 2 square numbers subtract to make 2583?

What two square numbers subtract to make 2583? In other words, when you subtract one square number from another square number, the answer is 2583. 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 = 2583

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

52² - 11² = 2583

52² is 2704 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 2583?" is 2704 and 121 as illustrated below:

2704 - 121 = 2583

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 2583. Below we list alternate solutions if available.

5184 - 2601 = 2583
21904 - 19321 = 2583
35344 - 32761 = 2583

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