What 2 square numbers subtract to make 2565?

What two square numbers subtract to make 2565? In other words, when you subtract one square number from another square number, the answer is 2565. 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 = 2565

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

51² - 6² = 2565

51² is 2601 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 2565?" is 2601 and 36 as illustrated below:

2601 - 36 = 2565

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 2565. Below we list alternate solutions if available.

3721 - 1156 = 2565
5929 - 3364 = 2565
8649 - 6084 = 2565

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