What 2 square numbers subtract to make 8921?

What two square numbers subtract to make 8921? In other words, when you subtract one square number from another square number, the answer is 8921. 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 = 8921

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

411² - 400² = 8921

411² is 168921 and 400² is 160000, therefore the answer to the question "What 2 square numbers subtract to make 8921?" is 168921 and 160000 as illustrated below:

168921 - 160000 = 8921

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 8921. Below we list alternate solutions if available.

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