What 2 square numbers subtract to make 8968?

What two square numbers subtract to make 8968? In other words, when you subtract one square number from another square number, the answer is 8968. 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 = 8968

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

97² - 21² = 8968

97² is 9409 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 8968?" is 9409 and 441 as illustrated below:

9409 - 441 = 8968

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 8968. Below we list alternate solutions if available.

18769 - 9801 = 8968

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