What 2 square numbers subtract to make 8712?

What two square numbers subtract to make 8712? In other words, when you subtract one square number from another square number, the answer is 8712. 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 = 8712

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

99² - 33² = 8712

99² is 9801 and 33² is 1089, therefore the answer to the question "What 2 square numbers subtract to make 8712?" is 9801 and 1089 as illustrated below:

9801 - 1089 = 8712

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 8712. Below we list alternate solutions if available.

14641 - 5929 = 8712
19321 - 10609 = 8712
43681 - 34969 = 8712

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What 2 square numbers subtract to make 8713?
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