What 2 square numbers subtract to make 2597?

What two square numbers subtract to make 2597? In other words, when you subtract one square number from another square number, the answer is 2597. 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 = 2597

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

51² - 2² = 2597

51² is 2601 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 2597?" is 2601 and 4 as illustrated below:

2601 - 4 = 2597

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 2597. Below we list alternate solutions if available.

35721 - 33124 = 2597

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