What 2 square numbers subtract to make 2588?

What two square numbers subtract to make 2588? In other words, when you subtract one square number from another square number, the answer is 2588. 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 = 2588

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

648² - 646² = 2588

648² is 419904 and 646² is 417316, therefore the answer to the question "What 2 square numbers subtract to make 2588?" is 419904 and 417316 as illustrated below:

419904 - 417316 = 2588

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 2588. Below we list alternate solutions if available.

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