What 2 square numbers subtract to make 4815?

What two square numbers subtract to make 4815? In other words, when you subtract one square number from another square number, the answer is 4815. 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 = 4815

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

76² - 31² = 4815

76² is 5776 and 31² is 961, therefore the answer to the question "What 2 square numbers subtract to make 4815?" is 5776 and 961 as illustrated below:

5776 - 961 = 4815

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 4815. Below we list alternate solutions if available.

28224 - 23409 = 4815
73984 - 69169 = 4815
234256 - 229441 = 4815

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What 2 square numbers subtract to make 4816?
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