What 2 square numbers subtract to make 8512?

What two square numbers subtract to make 8512? In other words, when you subtract one square number from another square number, the answer is 8512. 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 = 8512

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

94² - 18² = 8512

94² is 8836 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 8512?" is 8836 and 324 as illustrated below:

8836 - 324 = 8512

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 8512. Below we list alternate solutions if available.

10816 - 2304 = 8512
17161 - 8649 = 8512
22201 - 13689 = 8512

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