What 2 square numbers subtract to make 8652?

What two square numbers subtract to make 8652? In other words, when you subtract one square number from another square number, the answer is 8652. 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 = 8652

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

124² - 82² = 8652

124² is 15376 and 82² is 6724, therefore the answer to the question "What 2 square numbers subtract to make 8652?" is 15376 and 6724 as illustrated below:

15376 - 6724 = 8652

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 8652. Below we list alternate solutions if available.

99856 - 91204 = 8652
524176 - 515524 = 8652

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