What 2 square numbers subtract to make 8576?

What two square numbers subtract to make 8576? In other words, when you subtract one square number from another square number, the answer is 8576. 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 = 8576

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

99² - 35² = 8576

99² is 9801 and 35² is 1225, therefore the answer to the question "What 2 square numbers subtract to make 8576?" is 9801 and 1225 as illustrated below:

9801 - 1225 = 8576

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 8576. Below we list alternate solutions if available.

22500 - 13924 = 8576
76176 - 67600 = 8576
291600 - 283024 = 8576

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