What 2 square numbers subtract to make 8688?

What two square numbers subtract to make 8688? In other words, when you subtract one square number from another square number, the answer is 8688. 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 = 8688

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

193² - 169² = 8688

193² is 37249 and 169² is 28561, therefore the answer to the question "What 2 square numbers subtract to make 8688?" is 37249 and 28561 as illustrated below:

37249 - 28561 = 8688

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 8688. Below we list alternate solutions if available.

135424 - 126736 = 8688
299209 - 290521 = 8688
528529 - 519841 = 8688

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