What 2 square numbers subtract to make 8528?

What two square numbers subtract to make 8528? In other words, when you subtract one square number from another square number, the answer is 8528. 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 = 8528

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

93² - 11² = 8528

93² is 8649 and 11² is 121, therefore the answer to the question "What 2 square numbers subtract to make 8528?" is 8649 and 121 as illustrated below:

8649 - 121 = 8528

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 8528. Below we list alternate solutions if available.

11664 - 3136 = 8528
31329 - 22801 = 8528
288369 - 279841 = 8528

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