What 2 square numbers subtract to make 7816?

What two square numbers subtract to make 7816? In other words, when you subtract one square number from another square number, the answer is 7816. 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 = 7816

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

979² - 975² = 7816

979² is 958441 and 975² is 950625, therefore the answer to the question "What 2 square numbers subtract to make 7816?" is 958441 and 950625 as illustrated below:

958441 - 950625 = 7816

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 7816. Below we list alternate solutions if available.

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