What 2 square numbers subtract to make 8724?

What two square numbers subtract to make 8724? In other words, when you subtract one square number from another square number, the answer is 8724. 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 = 8724

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

730² - 724² = 8724

730² is 532900 and 724² is 524176, therefore the answer to the question "What 2 square numbers subtract to make 8724?" is 532900 and 524176 as illustrated below:

532900 - 524176 = 8724

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 8724. Below we list alternate solutions if available.

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