What 2 square numbers subtract to make 8953?

What two square numbers subtract to make 8953? In other words, when you subtract one square number from another square number, the answer is 8953. 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 = 8953

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

643² - 636² = 8953

643² is 413449 and 636² is 404496, therefore the answer to the question "What 2 square numbers subtract to make 8953?" is 413449 and 404496 as illustrated below:

413449 - 404496 = 8953

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 8953. Below we list alternate solutions if available.

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