What 2 square numbers subtract to make 2555?

What two square numbers subtract to make 2555? In other words, when you subtract one square number from another square number, the answer is 2555. 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 = 2555

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

54² - 19² = 2555

54² is 2916 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 2555?" is 2916 and 361 as illustrated below:

2916 - 361 = 2555

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 2555. Below we list alternate solutions if available.

34596 - 32041 = 2555
66564 - 64009 = 2555

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