What 2 square numbers subtract to make 2656?

What two square numbers subtract to make 2656? In other words, when you subtract one square number from another square number, the answer is 2656. 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 = 2656

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

91² - 75² = 2656

91² is 8281 and 75² is 5625, therefore the answer to the question "What 2 square numbers subtract to make 2656?" is 8281 and 5625 as illustrated below:

8281 - 5625 = 2656

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 2656. Below we list alternate solutions if available.

28900 - 26244 = 2656
111556 - 108900 = 2656
442225 - 439569 = 2656

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