What 2 square numbers subtract to make 8547?

What two square numbers subtract to make 8547? In other words, when you subtract one square number from another square number, the answer is 8547. 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 = 8547

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

94² - 17² = 8547

94² is 8836 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 8547?" is 8836 and 289 as illustrated below:

8836 - 289 = 8547

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 8547. Below we list alternate solutions if available.

17956 - 9409 = 8547
21316 - 12769 = 8547
45796 - 37249 = 8547

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