What 2 square numbers subtract to make 8745?

What two square numbers subtract to make 8745? In other words, when you subtract one square number from another square number, the answer is 8745. 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 = 8745

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

107² - 52² = 8745

107² is 11449 and 52² is 2704, therefore the answer to the question "What 2 square numbers subtract to make 8745?" is 11449 and 2704 as illustrated below:

11449 - 2704 = 8745

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 8745. Below we list alternate solutions if available.

11881 - 3136 = 8745
22201 - 13456 = 8745
89401 - 80656 = 8745

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What 2 square numbers subtract to make 8746?
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