What 2 square numbers subtract to make 2896?

What two square numbers subtract to make 2896? In other words, when you subtract one square number from another square number, the answer is 2896. 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 = 2896

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

185² - 177² = 2896

185² is 34225 and 177² is 31329, therefore the answer to the question "What 2 square numbers subtract to make 2896?" is 34225 and 31329 as illustrated below:

34225 - 31329 = 2896

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 2896. Below we list alternate solutions if available.

132496 - 129600 = 2896
525625 - 522729 = 2896

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